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Simplifying 2(x + 8) + 1 = 5x + -7 Reorder the terms: 2(8 + x) + 1 = 5x + -7 (8 * 2 + x * 2) + 1 = 5x + -7 (16 + 2x) + 1 = 5x + -7 Reorder the terms: 16 + 1 + 2x = 5x + -7 Combine like terms: 16 + 1 = 17 17 + 2x = 5x + -7 Reorder the terms: 17 + 2x = -7 + 5x Solving 17 + 2x = -7 + 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. 17 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x 17 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -3x = -7 + 0 17 + -3x = -7 Add '-17' to each side of the equation. 17 + -17 + -3x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = -7 + -17 -3x = -7 + -17 Combine like terms: -7 + -17 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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