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Simplifying 120 = (2x + 1) + -1(3x + 2) Reorder the terms: 120 = (1 + 2x) + -1(3x + 2) Remove parenthesis around (1 + 2x) 120 = 1 + 2x + -1(3x + 2) Reorder the terms: 120 = 1 + 2x + -1(2 + 3x) 120 = 1 + 2x + (2 * -1 + 3x * -1) 120 = 1 + 2x + (-2 + -3x) Reorder the terms: 120 = 1 + -2 + 2x + -3x Combine like terms: 1 + -2 = -1 120 = -1 + 2x + -3x Combine like terms: 2x + -3x = -1x 120 = -1 + -1x Solving 120 = -1 + -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. 120 + x = -1 + -1x + x Combine like terms: -1x + x = 0 120 + x = -1 + 0 120 + x = -1 Add '-120' to each side of the equation. 120 + -120 + x = -1 + -120 Combine like terms: 120 + -120 = 0 0 + x = -1 + -120 x = -1 + -120 Combine like terms: -1 + -120 = -121 x = -121 Simplifying x = -121
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