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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 = 1 1 + -3x + -5x = 5x + -1(2x + -4) + 5 Combine like terms: -3x + -5x = -8x 1 + -8x = 5x + -1(2x + -4) + 5 Reorder the terms: 1 + -8x = 5x + -1(-4 + 2x) + 5 1 + -8x = 5x + (-4 * -1 + 2x * -1) + 5 1 + -8x = 5x + (4 + -2x) + 5 Reorder the terms: 1 + -8x = 4 + 5 + 5x + -2x Combine like terms: 4 + 5 = 9 1 + -8x = 9 + 5x + -2x Combine like terms: 5x + -2x = 3x 1 + -8x = 9 + 3x Solving 1 + -8x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + -8x + -3x = 9 + 3x + -3x Combine like terms: -8x + -3x = -11x 1 + -11x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -11x = 9 + 0 1 + -11x = 9 Add '-1' to each side of the equation. 1 + -1 + -11x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 9 + -1 -11x = 9 + -1 Combine like terms: 9 + -1 = 8 -11x = 8 Divide each side by '-11'. x = -0.7272727273 Simplifying x = -0.7272727273
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