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Simplifying 3(2x + 1) = 5(7 + -2x) Reorder the terms: 3(1 + 2x) = 5(7 + -2x) (1 * 3 + 2x * 3) = 5(7 + -2x) (3 + 6x) = 5(7 + -2x) 3 + 6x = (7 * 5 + -2x * 5) 3 + 6x = (35 + -10x) Solving 3 + 6x = 35 + -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. 3 + 6x + 10x = 35 + -10x + 10x Combine like terms: 6x + 10x = 16x 3 + 16x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 16x = 35 + 0 3 + 16x = 35 Add '-3' to each side of the equation. 3 + -3 + 16x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = 35 + -3 16x = 35 + -3 Combine like terms: 35 + -3 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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