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Simplifying -6x + 7 + -3(x + -1) = -1(5x + -5) + -3x + 3 Reorder the terms: -6x + 7 + -3(-1 + x) = -1(5x + -5) + -3x + 3 -6x + 7 + (-1 * -3 + x * -3) = -1(5x + -5) + -3x + 3 -6x + 7 + (3 + -3x) = -1(5x + -5) + -3x + 3 Reorder the terms: 7 + 3 + -6x + -3x = -1(5x + -5) + -3x + 3 Combine like terms: 7 + 3 = 10 10 + -6x + -3x = -1(5x + -5) + -3x + 3 Combine like terms: -6x + -3x = -9x 10 + -9x = -1(5x + -5) + -3x + 3 Reorder the terms: 10 + -9x = -1(-5 + 5x) + -3x + 3 10 + -9x = (-5 * -1 + 5x * -1) + -3x + 3 10 + -9x = (5 + -5x) + -3x + 3 Reorder the terms: 10 + -9x = 5 + 3 + -5x + -3x Combine like terms: 5 + 3 = 8 10 + -9x = 8 + -5x + -3x Combine like terms: -5x + -3x = -8x 10 + -9x = 8 + -8x Solving 10 + -9x = 8 + -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. 10 + -9x + 8x = 8 + -8x + 8x Combine like terms: -9x + 8x = -1x 10 + -1x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + -1x = 8 + 0 10 + -1x = 8 Add '-10' to each side of the equation. 10 + -10 + -1x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 8 + -10 -1x = 8 + -10 Combine like terms: 8 + -10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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