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Simplifying 3 + -2(2x + 1) = 5(2 + -1x) Reorder the terms: 3 + -2(1 + 2x) = 5(2 + -1x) 3 + (1 * -2 + 2x * -2) = 5(2 + -1x) 3 + (-2 + -4x) = 5(2 + -1x) Combine like terms: 3 + -2 = 1 1 + -4x = 5(2 + -1x) 1 + -4x = (2 * 5 + -1x * 5) 1 + -4x = (10 + -5x) Solving 1 + -4x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -4x + 5x = 10 + -5x + 5x Combine like terms: -4x + 5x = 1x 1 + 1x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 1x = 10 + 0 1 + 1x = 10 Add '-1' to each side of the equation. 1 + -1 + 1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 10 + -1 1x = 10 + -1 Combine like terms: 10 + -1 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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