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Simplifying -2(-1x + 1) = 3(5 + -3x) Reorder the terms: -2(1 + -1x) = 3(5 + -3x) (1 * -2 + -1x * -2) = 3(5 + -3x) (-2 + 2x) = 3(5 + -3x) -2 + 2x = (5 * 3 + -3x * 3) -2 + 2x = (15 + -9x) Solving -2 + 2x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -2 + 2x + 9x = 15 + -9x + 9x Combine like terms: 2x + 9x = 11x -2 + 11x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 11x = 15 + 0 -2 + 11x = 15 Add '2' to each side of the equation. -2 + 2 + 11x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 15 + 2 11x = 15 + 2 Combine like terms: 15 + 2 = 17 11x = 17 Divide each side by '11'. x = 1.545454545 Simplifying x = 1.545454545
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