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Simplifying 7(5x + 9) = 18 + -1(x + 9) Reorder the terms: 7(9 + 5x) = 18 + -1(x + 9) (9 * 7 + 5x * 7) = 18 + -1(x + 9) (63 + 35x) = 18 + -1(x + 9) Reorder the terms: 63 + 35x = 18 + -1(9 + x) 63 + 35x = 18 + (9 * -1 + x * -1) 63 + 35x = 18 + (-9 + -1x) Combine like terms: 18 + -9 = 9 63 + 35x = 9 + -1x Solving 63 + 35x = 9 + -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. 63 + 35x + x = 9 + -1x + x Combine like terms: 35x + x = 36x 63 + 36x = 9 + -1x + x Combine like terms: -1x + x = 0 63 + 36x = 9 + 0 63 + 36x = 9 Add '-63' to each side of the equation. 63 + -63 + 36x = 9 + -63 Combine like terms: 63 + -63 = 0 0 + 36x = 9 + -63 36x = 9 + -63 Combine like terms: 9 + -63 = -54 36x = -54 Divide each side by '36'. x = -1.5 Simplifying x = -1.5
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