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Simplifying 5(2x + 1) = -1(x + -9) Reorder the terms: 5(1 + 2x) = -1(x + -9) (1 * 5 + 2x * 5) = -1(x + -9) (5 + 10x) = -1(x + -9) Reorder the terms: 5 + 10x = -1(-9 + x) 5 + 10x = (-9 * -1 + x * -1) 5 + 10x = (9 + -1x) Solving 5 + 10x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 10x + x = 9 + -1x + x Combine like terms: 10x + x = 11x 5 + 11x = 9 + -1x + x Combine like terms: -1x + x = 0 5 + 11x = 9 + 0 5 + 11x = 9 Add '-5' to each side of the equation. 5 + -5 + 11x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 9 + -5 11x = 9 + -5 Combine like terms: 9 + -5 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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