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Simplifying 2x + 1 = 5 + -1(x + -2) Reorder the terms: 1 + 2x = 5 + -1(x + -2) Reorder the terms: 1 + 2x = 5 + -1(-2 + x) 1 + 2x = 5 + (-2 * -1 + x * -1) 1 + 2x = 5 + (2 + -1x) Combine like terms: 5 + 2 = 7 1 + 2x = 7 + -1x Solving 1 + 2x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 2x + x = 7 + -1x + x Combine like terms: 2x + x = 3x 1 + 3x = 7 + -1x + x Combine like terms: -1x + x = 0 1 + 3x = 7 + 0 1 + 3x = 7 Add '-1' to each side of the equation. 1 + -1 + 3x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 7 + -1 3x = 7 + -1 Combine like terms: 7 + -1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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