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