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Simplifying -3x + 6 + -5(x + -1) = -1(2x + -4) + -5x + -5 Reorder the terms: -3x + 6 + -5(-1 + x) = -1(2x + -4) + -5x + -5 -3x + 6 + (-1 * -5 + x * -5) = -1(2x + -4) + -5x + -5 -3x + 6 + (5 + -5x) = -1(2x + -4) + -5x + -5 Reorder the terms: 6 + 5 + -3x + -5x = -1(2x + -4) + -5x + -5 Combine like terms: 6 + 5 = 11 11 + -3x + -5x = -1(2x + -4) + -5x + -5 Combine like terms: -3x + -5x = -8x 11 + -8x = -1(2x + -4) + -5x + -5 Reorder the terms: 11 + -8x = -1(-4 + 2x) + -5x + -5 11 + -8x = (-4 * -1 + 2x * -1) + -5x + -5 11 + -8x = (4 + -2x) + -5x + -5 Reorder the terms: 11 + -8x = 4 + -5 + -2x + -5x Combine like terms: 4 + -5 = -1 11 + -8x = -1 + -2x + -5x Combine like terms: -2x + -5x = -7x 11 + -8x = -1 + -7x Solving 11 + -8x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 11 + -8x + 7x = -1 + -7x + 7x Combine like terms: -8x + 7x = -1x 11 + -1x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + -1x = -1 + 0 11 + -1x = -1 Add '-11' to each side of the equation. 11 + -11 + -1x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -1 + -11 -1x = -1 + -11 Combine like terms: -1 + -11 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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