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Simplifying 3(x + 5) + 2 = x + -1 Reorder the terms: 3(5 + x) + 2 = x + -1 (5 * 3 + x * 3) + 2 = x + -1 (15 + 3x) + 2 = x + -1 Reorder the terms: 15 + 2 + 3x = x + -1 Combine like terms: 15 + 2 = 17 17 + 3x = x + -1 Reorder the terms: 17 + 3x = -1 + x Solving 17 + 3x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 3x + -1x = -1 + x + -1x Combine like terms: 3x + -1x = 2x 17 + 2x = -1 + x + -1x Combine like terms: x + -1x = 0 17 + 2x = -1 + 0 17 + 2x = -1 Add '-17' to each side of the equation. 17 + -17 + 2x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = -1 + -17 2x = -1 + -17 Combine like terms: -1 + -17 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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