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Simplifying 3x + -1(2x + 3y) + 7 = 5x + -2 3x + (2x * -1 + 3y * -1) + 7 = 5x + -2 3x + (-2x + -3y) + 7 = 5x + -2 Reorder the terms: 7 + 3x + -2x + -3y = 5x + -2 Combine like terms: 3x + -2x = 1x 7 + 1x + -3y = 5x + -2 Reorder the terms: 7 + 1x + -3y = -2 + 5x Solving 7 + 1x + -3y = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 1x + -5x + -3y = -2 + 5x + -5x Combine like terms: 1x + -5x = -4x 7 + -4x + -3y = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x + -3y = -2 + 0 7 + -4x + -3y = -2 Add '-7' to each side of the equation. 7 + -4x + -7 + -3y = -2 + -7 Reorder the terms: 7 + -7 + -4x + -3y = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -4x + -3y = -2 + -7 -4x + -3y = -2 + -7 Combine like terms: -2 + -7 = -9 -4x + -3y = -9 Add '3y' to each side of the equation. -4x + -3y + 3y = -9 + 3y Combine like terms: -3y + 3y = 0 -4x + 0 = -9 + 3y -4x = -9 + 3y Divide each side by '-4'. x = 2.25 + -0.75y Simplifying x = 2.25 + -0.75y
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