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Simplifying -6x + 9 + -3(x + -1) = -1(5x + -7) + -3x + 3 Reorder the terms: -6x + 9 + -3(-1 + x) = -1(5x + -7) + -3x + 3 -6x + 9 + (-1 * -3 + x * -3) = -1(5x + -7) + -3x + 3 -6x + 9 + (3 + -3x) = -1(5x + -7) + -3x + 3 Reorder the terms: 9 + 3 + -6x + -3x = -1(5x + -7) + -3x + 3 Combine like terms: 9 + 3 = 12 12 + -6x + -3x = -1(5x + -7) + -3x + 3 Combine like terms: -6x + -3x = -9x 12 + -9x = -1(5x + -7) + -3x + 3 Reorder the terms: 12 + -9x = -1(-7 + 5x) + -3x + 3 12 + -9x = (-7 * -1 + 5x * -1) + -3x + 3 12 + -9x = (7 + -5x) + -3x + 3 Reorder the terms: 12 + -9x = 7 + 3 + -5x + -3x Combine like terms: 7 + 3 = 10 12 + -9x = 10 + -5x + -3x Combine like terms: -5x + -3x = -8x 12 + -9x = 10 + -8x Solving 12 + -9x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -9x + 8x = 10 + -8x + 8x Combine like terms: -9x + 8x = -1x 12 + -1x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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