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Simplifying 3(x + 2) + 1 = 5(x + -1) Reorder the terms: 3(2 + x) + 1 = 5(x + -1) (2 * 3 + x * 3) + 1 = 5(x + -1) (6 + 3x) + 1 = 5(x + -1) Reorder the terms: 6 + 1 + 3x = 5(x + -1) Combine like terms: 6 + 1 = 7 7 + 3x = 5(x + -1) Reorder the terms: 7 + 3x = 5(-1 + x) 7 + 3x = (-1 * 5 + x * 5) 7 + 3x = (-5 + 5x) Solving 7 + 3x = -5 + 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. 7 + 3x + -5x = -5 + 5x + -5x Combine like terms: 3x + -5x = -2x 7 + -2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -2x = -5 + 0 7 + -2x = -5 Add '-7' to each side of the equation. 7 + -7 + -2x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -5 + -7 -2x = -5 + -7 Combine like terms: -5 + -7 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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