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Simplifying -3(3x + 5) = 5(2x + -2) Reorder the terms: -3(5 + 3x) = 5(2x + -2) (5 * -3 + 3x * -3) = 5(2x + -2) (-15 + -9x) = 5(2x + -2) Reorder the terms: -15 + -9x = 5(-2 + 2x) -15 + -9x = (-2 * 5 + 2x * 5) -15 + -9x = (-10 + 10x) Solving -15 + -9x = -10 + 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. -15 + -9x + -10x = -10 + 10x + -10x Combine like terms: -9x + -10x = -19x -15 + -19x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -19x = -10 + 0 -15 + -19x = -10 Add '15' to each side of the equation. -15 + 15 + -19x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -19x = -10 + 15 -19x = -10 + 15 Combine like terms: -10 + 15 = 5 -19x = 5 Divide each side by '-19'. x = -0.2631578947 Simplifying x = -0.2631578947
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