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Simplifying 4(3x + -8) = 2(5x + 9) Reorder the terms: 4(-8 + 3x) = 2(5x + 9) (-8 * 4 + 3x * 4) = 2(5x + 9) (-32 + 12x) = 2(5x + 9) Reorder the terms: -32 + 12x = 2(9 + 5x) -32 + 12x = (9 * 2 + 5x * 2) -32 + 12x = (18 + 10x) Solving -32 + 12x = 18 + 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. -32 + 12x + -10x = 18 + 10x + -10x Combine like terms: 12x + -10x = 2x -32 + 2x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + 2x = 18 + 0 -32 + 2x = 18 Add '32' to each side of the equation. -32 + 32 + 2x = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 18 + 32 2x = 18 + 32 Combine like terms: 18 + 32 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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