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Simplifying -3x + 6 + -5(x + -1) = -2(2x + -4) + -5x + 5 Reorder the terms: -3x + 6 + -5(-1 + x) = -2(2x + -4) + -5x + 5 -3x + 6 + (-1 * -5 + x * -5) = -2(2x + -4) + -5x + 5 -3x + 6 + (5 + -5x) = -2(2x + -4) + -5x + 5 Reorder the terms: 6 + 5 + -3x + -5x = -2(2x + -4) + -5x + 5 Combine like terms: 6 + 5 = 11 11 + -3x + -5x = -2(2x + -4) + -5x + 5 Combine like terms: -3x + -5x = -8x 11 + -8x = -2(2x + -4) + -5x + 5 Reorder the terms: 11 + -8x = -2(-4 + 2x) + -5x + 5 11 + -8x = (-4 * -2 + 2x * -2) + -5x + 5 11 + -8x = (8 + -4x) + -5x + 5 Reorder the terms: 11 + -8x = 8 + 5 + -4x + -5x Combine like terms: 8 + 5 = 13 11 + -8x = 13 + -4x + -5x Combine like terms: -4x + -5x = -9x 11 + -8x = 13 + -9x Solving 11 + -8x = 13 + -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. 11 + -8x + 9x = 13 + -9x + 9x Combine like terms: -8x + 9x = 1x 11 + 1x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 11 + 1x = 13 + 0 11 + 1x = 13 Add '-11' to each side of the equation. 11 + -11 + 1x = 13 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 13 + -11 1x = 13 + -11 Combine like terms: 13 + -11 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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