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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 = 3x 11 + -8x = 9 + 3x Solving 11 + -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. 11 + -8x + -3x = 9 + 3x + -3x Combine like terms: -8x + -3x = -11x 11 + -11x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -11x = 9 + 0 11 + -11x = 9 Add '-11' to each side of the equation. 11 + -11 + -11x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = 9 + -11 -11x = 9 + -11 Combine like terms: 9 + -11 = -2 -11x = -2 Divide each side by '-11'. x = 0.1818181818 Simplifying x = 0.1818181818
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