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Simplifying 3(2x + 1) = 4(5 + -1x) Reorder the terms: 3(1 + 2x) = 4(5 + -1x) (1 * 3 + 2x * 3) = 4(5 + -1x) (3 + 6x) = 4(5 + -1x) 3 + 6x = (5 * 4 + -1x * 4) 3 + 6x = (20 + -4x) Solving 3 + 6x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 6x + 4x = 20 + -4x + 4x Combine like terms: 6x + 4x = 10x 3 + 10x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 10x = 20 + 0 3 + 10x = 20 Add '-3' to each side of the equation. 3 + -3 + 10x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 20 + -3 10x = 20 + -3 Combine like terms: 20 + -3 = 17 10x = 17 Divide each side by '10'. x = 1.7 Simplifying x = 1.7
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