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Simplifying 3(2x + 6) = 2(5x + 5) Reorder the terms: 3(6 + 2x) = 2(5x + 5) (6 * 3 + 2x * 3) = 2(5x + 5) (18 + 6x) = 2(5x + 5) Reorder the terms: 18 + 6x = 2(5 + 5x) 18 + 6x = (5 * 2 + 5x * 2) 18 + 6x = (10 + 10x) Solving 18 + 6x = 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. 18 + 6x + -10x = 10 + 10x + -10x Combine like terms: 6x + -10x = -4x 18 + -4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -4x = 10 + 0 18 + -4x = 10 Add '-18' to each side of the equation. 18 + -18 + -4x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 10 + -18 -4x = 10 + -18 Combine like terms: 10 + -18 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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