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Simplifying -3(5 + 2x) + 5x = -1(3 + -1x) (5 * -3 + 2x * -3) + 5x = -1(3 + -1x) (-15 + -6x) + 5x = -1(3 + -1x) Combine like terms: -6x + 5x = -1x -15 + -1x = -1(3 + -1x) -15 + -1x = (3 * -1 + -1x * -1) -15 + -1x = (-3 + 1x) Solving -15 + -1x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + -1x + -1x = -3 + 1x + -1x Combine like terms: -1x + -1x = -2x -15 + -2x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + -2x = -3 + 0 -15 + -2x = -3 Add '15' to each side of the equation. -15 + 15 + -2x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -3 + 15 -2x = -3 + 15 Combine like terms: -3 + 15 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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