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Simplifying 3x + -2(6y + -3) + 2x + -1(-8y + -2) = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 Reorder the terms: 3x + -2(-3 + 6y) + 2x + -1(-8y + -2) = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 3x + (-3 * -2 + 6y * -2) + 2x + -1(-8y + -2) = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 3x + (6 + -12y) + 2x + -1(-8y + -2) = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 Reorder the terms: 3x + 6 + -12y + 2x + -1(-2 + -8y) = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 3x + 6 + -12y + 2x + (-2 * -1 + -8y * -1) = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 3x + 6 + -12y + 2x + (2 + 8y) = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 Reorder the terms: 6 + 2 + 3x + 2x + -12y + 8y = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 Combine like terms: 6 + 2 = 8 8 + 3x + 2x + -12y + 8y = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 Combine like terms: 3x + 2x = 5x 8 + 5x + -12y + 8y = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 Combine like terms: -12y + 8y = -4y 8 + 5x + -4y = -1(2x + 3y + -5) + -2y + 3(2x + -4) + -6 Reorder the terms: 8 + 5x + -4y = -1(-5 + 2x + 3y) + -2y + 3(2x + -4) + -6 8 + 5x + -4y = (-5 * -1 + 2x * -1 + 3y * -1) + -2y + 3(2x + -4) + -6 8 + 5x + -4y = (5 + -2x + -3y) + -2y + 3(2x + -4) + -6 Reorder the terms: 8 + 5x + -4y = 5 + -2x + -3y + -2y + 3(-4 + 2x) + -6 8 + 5x + -4y = 5 + -2x + -3y + -2y + (-4 * 3 + 2x * 3) + -6 8 + 5x + -4y = 5 + -2x + -3y + -2y + (-12 + 6x) + -6 Reorder the terms: 8 + 5x + -4y = 5 + -12 + -6 + -2x + 6x + -3y + -2y Combine like terms: 5 + -12 = -7 8 + 5x + -4y = -7 + -6 + -2x + 6x + -3y + -2y Combine like terms: -7 + -6 = -13 8 + 5x + -4y = -13 + -2x + 6x + -3y + -2y Combine like terms: -2x + 6x = 4x 8 + 5x + -4y = -13 + 4x + -3y + -2y Combine like terms: -3y + -2y = -5y 8 + 5x + -4y = -13 + 4x + -5y Solving 8 + 5x + -4y = -13 + 4x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 5x + -4x + -4y = -13 + 4x + -4x + -5y Combine like terms: 5x + -4x = 1x 8 + 1x + -4y = -13 + 4x + -4x + -5y Combine like terms: 4x + -4x = 0 8 + 1x + -4y = -13 + 0 + -5y 8 + 1x + -4y = -13 + -5y Add '-8' to each side of the equation. 8 + 1x + -8 + -4y = -13 + -8 + -5y Reorder the terms: 8 + -8 + 1x + -4y = -13 + -8 + -5y Combine like terms: 8 + -8 = 0 0 + 1x + -4y = -13 + -8 + -5y 1x + -4y = -13 + -8 + -5y Combine like terms: -13 + -8 = -21 1x + -4y = -21 + -5y Add '4y' to each side of the equation. 1x + -4y + 4y = -21 + -5y + 4y Combine like terms: -4y + 4y = 0 1x + 0 = -21 + -5y + 4y 1x = -21 + -5y + 4y Combine like terms: -5y + 4y = -1y 1x = -21 + -1y Divide each side by '1'. x = -21 + -1y Simplifying x = -21 + -1y
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