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Simplifying 2(x + 4) + 9 = 5x + -1 Reorder the terms: 2(4 + x) + 9 = 5x + -1 (4 * 2 + x * 2) + 9 = 5x + -1 (8 + 2x) + 9 = 5x + -1 Reorder the terms: 8 + 9 + 2x = 5x + -1 Combine like terms: 8 + 9 = 17 17 + 2x = 5x + -1 Reorder the terms: 17 + 2x = -1 + 5x Solving 17 + 2x = -1 + 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 = -1 + 5x + -5x Combine like terms: 2x + -5x = -3x 17 + -3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -3x = -1 + 0 17 + -3x = -1 Add '-17' to each side of the equation. 17 + -17 + -3x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = -1 + -17 -3x = -1 + -17 Combine like terms: -1 + -17 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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