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Simplifying 7(9 + x) + 9(13 + -1x) = 154 (9 * 7 + x * 7) + 9(13 + -1x) = 154 (63 + 7x) + 9(13 + -1x) = 154 63 + 7x + (13 * 9 + -1x * 9) = 154 63 + 7x + (117 + -9x) = 154 Reorder the terms: 63 + 117 + 7x + -9x = 154 Combine like terms: 63 + 117 = 180 180 + 7x + -9x = 154 Combine like terms: 7x + -9x = -2x 180 + -2x = 154 Solving 180 + -2x = 154 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + -2x = 154 + -180 Combine like terms: 180 + -180 = 0 0 + -2x = 154 + -180 -2x = 154 + -180 Combine like terms: 154 + -180 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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