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