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Simplifying -6x + 8 + -4(x + -1) = -1(5x + -5) + -4x + 4 Reorder the terms: -6x + 8 + -4(-1 + x) = -1(5x + -5) + -4x + 4 -6x + 8 + (-1 * -4 + x * -4) = -1(5x + -5) + -4x + 4 -6x + 8 + (4 + -4x) = -1(5x + -5) + -4x + 4 Reorder the terms: 8 + 4 + -6x + -4x = -1(5x + -5) + -4x + 4 Combine like terms: 8 + 4 = 12 12 + -6x + -4x = -1(5x + -5) + -4x + 4 Combine like terms: -6x + -4x = -10x 12 + -10x = -1(5x + -5) + -4x + 4 Reorder the terms: 12 + -10x = -1(-5 + 5x) + -4x + 4 12 + -10x = (-5 * -1 + 5x * -1) + -4x + 4 12 + -10x = (5 + -5x) + -4x + 4 Reorder the terms: 12 + -10x = 5 + 4 + -5x + -4x Combine like terms: 5 + 4 = 9 12 + -10x = 9 + -5x + -4x Combine like terms: -5x + -4x = -9x 12 + -10x = 9 + -9x Solving 12 + -10x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + -10x + 9x = 9 + -9x + 9x Combine like terms: -10x + 9x = -1x 12 + -1x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + -1x = 9 + 0 12 + -1x = 9 Add '-12' to each side of the equation. 12 + -12 + -1x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 9 + -12 -1x = 9 + -12 Combine like terms: 9 + -12 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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