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Simplifying 2(2x + 5) = 3(5x + -4) Reorder the terms: 2(5 + 2x) = 3(5x + -4) (5 * 2 + 2x * 2) = 3(5x + -4) (10 + 4x) = 3(5x + -4) Reorder the terms: 10 + 4x = 3(-4 + 5x) 10 + 4x = (-4 * 3 + 5x * 3) 10 + 4x = (-12 + 15x) Solving 10 + 4x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 4x + -15x = -12 + 15x + -15x Combine like terms: 4x + -15x = -11x 10 + -11x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -11x = -12 + 0 10 + -11x = -12 Add '-10' to each side of the equation. 10 + -10 + -11x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -12 + -10 -11x = -12 + -10 Combine like terms: -12 + -10 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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