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Simplifying -6x + 8 + -3(x + -1) = -1(5x + -5) + -3x + 3 Reorder the terms: -6x + 8 + -3(-1 + x) = -1(5x + -5) + -3x + 3 -6x + 8 + (-1 * -3 + x * -3) = -1(5x + -5) + -3x + 3 -6x + 8 + (3 + -3x) = -1(5x + -5) + -3x + 3 Reorder the terms: 8 + 3 + -6x + -3x = -1(5x + -5) + -3x + 3 Combine like terms: 8 + 3 = 11 11 + -6x + -3x = -1(5x + -5) + -3x + 3 Combine like terms: -6x + -3x = -9x 11 + -9x = -1(5x + -5) + -3x + 3 Reorder the terms: 11 + -9x = -1(-5 + 5x) + -3x + 3 11 + -9x = (-5 * -1 + 5x * -1) + -3x + 3 11 + -9x = (5 + -5x) + -3x + 3 Reorder the terms: 11 + -9x = 5 + 3 + -5x + -3x Combine like terms: 5 + 3 = 8 11 + -9x = 8 + -5x + -3x Combine like terms: -5x + -3x = -8x 11 + -9x = 8 + -8x Solving 11 + -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. 11 + -9x + 8x = 8 + -8x + 8x Combine like terms: -9x + 8x = -1x 11 + -1x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + -1x = 8 + 0 11 + -1x = 8 Add '-11' to each side of the equation. 11 + -11 + -1x = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 8 + -11 -1x = 8 + -11 Combine like terms: 8 + -11 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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