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Simplifying 5(x + 2) + -9 = -17 + -1x Reorder the terms: 5(2 + x) + -9 = -17 + -1x (2 * 5 + x * 5) + -9 = -17 + -1x (10 + 5x) + -9 = -17 + -1x Reorder the terms: 10 + -9 + 5x = -17 + -1x Combine like terms: 10 + -9 = 1 1 + 5x = -17 + -1x Solving 1 + 5x = -17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 5x + x = -17 + -1x + x Combine like terms: 5x + x = 6x 1 + 6x = -17 + -1x + x Combine like terms: -1x + x = 0 1 + 6x = -17 + 0 1 + 6x = -17 Add '-1' to each side of the equation. 1 + -1 + 6x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = -17 + -1 6x = -17 + -1 Combine like terms: -17 + -1 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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