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Simplifying 2(4x + 5) = 3(2x + -4) Reorder the terms: 2(5 + 4x) = 3(2x + -4) (5 * 2 + 4x * 2) = 3(2x + -4) (10 + 8x) = 3(2x + -4) Reorder the terms: 10 + 8x = 3(-4 + 2x) 10 + 8x = (-4 * 3 + 2x * 3) 10 + 8x = (-12 + 6x) Solving 10 + 8x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x 10 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 2x = -12 + 0 10 + 2x = -12 Add '-10' to each side of the equation. 10 + -10 + 2x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -12 + -10 2x = -12 + -10 Combine like terms: -12 + -10 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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