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Simplifying 2(-4x + 5) = 3(x + 5) Reorder the terms: 2(5 + -4x) = 3(x + 5) (5 * 2 + -4x * 2) = 3(x + 5) (10 + -8x) = 3(x + 5) Reorder the terms: 10 + -8x = 3(5 + x) 10 + -8x = (5 * 3 + x * 3) 10 + -8x = (15 + 3x) Solving 10 + -8x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -8x + -3x = 15 + 3x + -3x Combine like terms: -8x + -3x = -11x 10 + -11x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -11x = 15 + 0 10 + -11x = 15 Add '-10' to each side of the equation. 10 + -10 + -11x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 15 + -10 -11x = 15 + -10 Combine like terms: 15 + -10 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545
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