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Simplifying 2x + -1(5x + 9) = 2(3 + -1x) Reorder the terms: 2x + -1(9 + 5x) = 2(3 + -1x) 2x + (9 * -1 + 5x * -1) = 2(3 + -1x) 2x + (-9 + -5x) = 2(3 + -1x) Reorder the terms: -9 + 2x + -5x = 2(3 + -1x) Combine like terms: 2x + -5x = -3x -9 + -3x = 2(3 + -1x) -9 + -3x = (3 * 2 + -1x * 2) -9 + -3x = (6 + -2x) Solving -9 + -3x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + -3x + 2x = 6 + -2x + 2x Combine like terms: -3x + 2x = -1x -9 + -1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + -1x = 6 + 0 -9 + -1x = 6 Add '9' to each side of the equation. -9 + 9 + -1x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 6 + 9 -1x = 6 + 9 Combine like terms: 6 + 9 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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