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Simplifying 9(2x + 7) = 8 + -1(x + 2) Reorder the terms: 9(7 + 2x) = 8 + -1(x + 2) (7 * 9 + 2x * 9) = 8 + -1(x + 2) (63 + 18x) = 8 + -1(x + 2) Reorder the terms: 63 + 18x = 8 + -1(2 + x) 63 + 18x = 8 + (2 * -1 + x * -1) 63 + 18x = 8 + (-2 + -1x) Combine like terms: 8 + -2 = 6 63 + 18x = 6 + -1x Solving 63 + 18x = 6 + -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 + 18x + x = 6 + -1x + x Combine like terms: 18x + x = 19x 63 + 19x = 6 + -1x + x Combine like terms: -1x + x = 0 63 + 19x = 6 + 0 63 + 19x = 6 Add '-63' to each side of the equation. 63 + -63 + 19x = 6 + -63 Combine like terms: 63 + -63 = 0 0 + 19x = 6 + -63 19x = 6 + -63 Combine like terms: 6 + -63 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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