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Simplifying 3x + -6(y + 2) + 12 = -4(x + -2) + 3y + -1 Reorder the terms: 3x + -6(2 + y) + 12 = -4(x + -2) + 3y + -1 3x + (2 * -6 + y * -6) + 12 = -4(x + -2) + 3y + -1 3x + (-12 + -6y) + 12 = -4(x + -2) + 3y + -1 Reorder the terms: -12 + 12 + 3x + -6y = -4(x + -2) + 3y + -1 Combine like terms: -12 + 12 = 0 0 + 3x + -6y = -4(x + -2) + 3y + -1 3x + -6y = -4(x + -2) + 3y + -1 Reorder the terms: 3x + -6y = -4(-2 + x) + 3y + -1 3x + -6y = (-2 * -4 + x * -4) + 3y + -1 3x + -6y = (8 + -4x) + 3y + -1 Reorder the terms: 3x + -6y = 8 + -1 + -4x + 3y Combine like terms: 8 + -1 = 7 3x + -6y = 7 + -4x + 3y Solving 3x + -6y = 7 + -4x + 3y 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. 3x + 4x + -6y = 7 + -4x + 4x + 3y Combine like terms: 3x + 4x = 7x 7x + -6y = 7 + -4x + 4x + 3y Combine like terms: -4x + 4x = 0 7x + -6y = 7 + 0 + 3y 7x + -6y = 7 + 3y Add '6y' to each side of the equation. 7x + -6y + 6y = 7 + 3y + 6y Combine like terms: -6y + 6y = 0 7x + 0 = 7 + 3y + 6y 7x = 7 + 3y + 6y Combine like terms: 3y + 6y = 9y 7x = 7 + 9y Divide each side by '7'. x = 1 + 1.285714286y Simplifying x = 1 + 1.285714286y
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