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Simplifying 3(x + 1) = 4(5 + -2x) Reorder the terms: 3(1 + x) = 4(5 + -2x) (1 * 3 + x * 3) = 4(5 + -2x) (3 + 3x) = 4(5 + -2x) 3 + 3x = (5 * 4 + -2x * 4) 3 + 3x = (20 + -8x) Solving 3 + 3x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + 3x + 8x = 20 + -8x + 8x Combine like terms: 3x + 8x = 11x 3 + 11x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 11x = 20 + 0 3 + 11x = 20 Add '-3' to each side of the equation. 3 + -3 + 11x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 20 + -3 11x = 20 + -3 Combine like terms: 20 + -3 = 17 11x = 17 Divide each side by '11'. x = 1.545454545 Simplifying x = 1.545454545
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