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Simplifying -3x + 6 + -5(x + -1) = 5x + -2(2x + -4) + 5 Reorder the terms: -3x + 6 + -5(-1 + x) = 5x + -2(2x + -4) + 5 -3x + 6 + (-1 * -5 + x * -5) = 5x + -2(2x + -4) + 5 -3x + 6 + (5 + -5x) = 5x + -2(2x + -4) + 5 Reorder the terms: 6 + 5 + -3x + -5x = 5x + -2(2x + -4) + 5 Combine like terms: 6 + 5 = 11 11 + -3x + -5x = 5x + -2(2x + -4) + 5 Combine like terms: -3x + -5x = -8x 11 + -8x = 5x + -2(2x + -4) + 5 Reorder the terms: 11 + -8x = 5x + -2(-4 + 2x) + 5 11 + -8x = 5x + (-4 * -2 + 2x * -2) + 5 11 + -8x = 5x + (8 + -4x) + 5 Reorder the terms: 11 + -8x = 8 + 5 + 5x + -4x Combine like terms: 8 + 5 = 13 11 + -8x = 13 + 5x + -4x Combine like terms: 5x + -4x = 1x 11 + -8x = 13 + 1x Solving 11 + -8x = 13 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + -8x + -1x = 13 + 1x + -1x Combine like terms: -8x + -1x = -9x 11 + -9x = 13 + 1x + -1x Combine like terms: 1x + -1x = 0 11 + -9x = 13 + 0 11 + -9x = 13 Add '-11' to each side of the equation. 11 + -11 + -9x = 13 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = 13 + -11 -9x = 13 + -11 Combine like terms: 13 + -11 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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