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Simplifying 3(2x + 4) = 2(5x + 10) Reorder the terms: 3(4 + 2x) = 2(5x + 10) (4 * 3 + 2x * 3) = 2(5x + 10) (12 + 6x) = 2(5x + 10) Reorder the terms: 12 + 6x = 2(10 + 5x) 12 + 6x = (10 * 2 + 5x * 2) 12 + 6x = (20 + 10x) Solving 12 + 6x = 20 + 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. 12 + 6x + -10x = 20 + 10x + -10x Combine like terms: 6x + -10x = -4x 12 + -4x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -4x = 20 + 0 12 + -4x = 20 Add '-12' to each side of the equation. 12 + -12 + -4x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 20 + -12 -4x = 20 + -12 Combine like terms: 20 + -12 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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