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Simplifying 7(13x + 9) + 17x = -18x + 18 Reorder the terms: 7(9 + 13x) + 17x = -18x + 18 (9 * 7 + 13x * 7) + 17x = -18x + 18 (63 + 91x) + 17x = -18x + 18 Combine like terms: 91x + 17x = 108x 63 + 108x = -18x + 18 Reorder the terms: 63 + 108x = 18 + -18x Solving 63 + 108x = 18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 63 + 108x + 18x = 18 + -18x + 18x Combine like terms: 108x + 18x = 126x 63 + 126x = 18 + -18x + 18x Combine like terms: -18x + 18x = 0 63 + 126x = 18 + 0 63 + 126x = 18 Add '-63' to each side of the equation. 63 + -63 + 126x = 18 + -63 Combine like terms: 63 + -63 = 0 0 + 126x = 18 + -63 126x = 18 + -63 Combine like terms: 18 + -63 = -45 126x = -45 Divide each side by '126'. x = -0.3571428571 Simplifying x = -0.3571428571
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