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Simplifying 4(3x + -6) = 5(2x + 2) Reorder the terms: 4(-6 + 3x) = 5(2x + 2) (-6 * 4 + 3x * 4) = 5(2x + 2) (-24 + 12x) = 5(2x + 2) Reorder the terms: -24 + 12x = 5(2 + 2x) -24 + 12x = (2 * 5 + 2x * 5) -24 + 12x = (10 + 10x) Solving -24 + 12x = 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. -24 + 12x + -10x = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x -24 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 2x = 10 + 0 -24 + 2x = 10 Add '24' to each side of the equation. -24 + 24 + 2x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 10 + 24 2x = 10 + 24 Combine like terms: 10 + 24 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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