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Simplifying (3x + 1) = 5(x + -2) Reorder the terms: (1 + 3x) = 5(x + -2) Remove parenthesis around (1 + 3x) 1 + 3x = 5(x + -2) Reorder the terms: 1 + 3x = 5(-2 + x) 1 + 3x = (-2 * 5 + x * 5) 1 + 3x = (-10 + 5x) Solving 1 + 3x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = -10 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = -10 + 0 1 + -2x = -10 Add '-1' to each side of the equation. 1 + -1 + -2x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -10 + -1 -2x = -10 + -1 Combine like terms: -10 + -1 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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