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