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Simplifying -1(2x + -1) = 5(2x + 9) Reorder the terms: -1(-1 + 2x) = 5(2x + 9) (-1 * -1 + 2x * -1) = 5(2x + 9) (1 + -2x) = 5(2x + 9) Reorder the terms: 1 + -2x = 5(9 + 2x) 1 + -2x = (9 * 5 + 2x * 5) 1 + -2x = (45 + 10x) Solving 1 + -2x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + -2x + -10x = 45 + 10x + -10x Combine like terms: -2x + -10x = -12x 1 + -12x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -12x = 45 + 0 1 + -12x = 45 Add '-1' to each side of the equation. 1 + -1 + -12x = 45 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 45 + -1 -12x = 45 + -1 Combine like terms: 45 + -1 = 44 -12x = 44 Divide each side by '-12'. x = -3.666666667 Simplifying x = -3.666666667
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