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Simplifying -1(-1x + -5) + 5(x + -9) = 2(x + 8) + -1(2x + 5) Reorder the terms: -1(-5 + -1x) + 5(x + -9) = 2(x + 8) + -1(2x + 5) (-5 * -1 + -1x * -1) + 5(x + -9) = 2(x + 8) + -1(2x + 5) (5 + 1x) + 5(x + -9) = 2(x + 8) + -1(2x + 5) Reorder the terms: 5 + 1x + 5(-9 + x) = 2(x + 8) + -1(2x + 5) 5 + 1x + (-9 * 5 + x * 5) = 2(x + 8) + -1(2x + 5) 5 + 1x + (-45 + 5x) = 2(x + 8) + -1(2x + 5) Reorder the terms: 5 + -45 + 1x + 5x = 2(x + 8) + -1(2x + 5) Combine like terms: 5 + -45 = -40 -40 + 1x + 5x = 2(x + 8) + -1(2x + 5) Combine like terms: 1x + 5x = 6x -40 + 6x = 2(x + 8) + -1(2x + 5) Reorder the terms: -40 + 6x = 2(8 + x) + -1(2x + 5) -40 + 6x = (8 * 2 + x * 2) + -1(2x + 5) -40 + 6x = (16 + 2x) + -1(2x + 5) Reorder the terms: -40 + 6x = 16 + 2x + -1(5 + 2x) -40 + 6x = 16 + 2x + (5 * -1 + 2x * -1) -40 + 6x = 16 + 2x + (-5 + -2x) Reorder the terms: -40 + 6x = 16 + -5 + 2x + -2x Combine like terms: 16 + -5 = 11 -40 + 6x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 6x = 11 + 0 -40 + 6x = 11 Solving -40 + 6x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 6x = 11 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 11 + 40 6x = 11 + 40 Combine like terms: 11 + 40 = 51 6x = 51 Divide each side by '6'. x = 8.5 Simplifying x = 8.5
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