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