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Simplifying -3x + 6 + -5(x + -1) = -5x + -1(2x + -4) + 5 Reorder the terms: -3x + 6 + -5(-1 + x) = -5x + -1(2x + -4) + 5 -3x + 6 + (-1 * -5 + x * -5) = -5x + -1(2x + -4) + 5 -3x + 6 + (5 + -5x) = -5x + -1(2x + -4) + 5 Reorder the terms: 6 + 5 + -3x + -5x = -5x + -1(2x + -4) + 5 Combine like terms: 6 + 5 = 11 11 + -3x + -5x = -5x + -1(2x + -4) + 5 Combine like terms: -3x + -5x = -8x 11 + -8x = -5x + -1(2x + -4) + 5 Reorder the terms: 11 + -8x = -5x + -1(-4 + 2x) + 5 11 + -8x = -5x + (-4 * -1 + 2x * -1) + 5 11 + -8x = -5x + (4 + -2x) + 5 Reorder the terms: 11 + -8x = 4 + 5 + -5x + -2x Combine like terms: 4 + 5 = 9 11 + -8x = 9 + -5x + -2x Combine like terms: -5x + -2x = -7x 11 + -8x = 9 + -7x Solving 11 + -8x = 9 + -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 = 9 + -7x + 7x Combine like terms: -8x + 7x = -1x 11 + -1x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + -1x = 9 + 0 11 + -1x = 9 Add '-11' to each side of the equation. 11 + -11 + -1x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 9 + -11 -1x = 9 + -11 Combine like terms: 9 + -11 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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