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Simplifying 5(x + 9) + 2(-1x + 9) = 6 Reorder the terms: 5(9 + x) + 2(-1x + 9) = 6 (9 * 5 + x * 5) + 2(-1x + 9) = 6 (45 + 5x) + 2(-1x + 9) = 6 Reorder the terms: 45 + 5x + 2(9 + -1x) = 6 45 + 5x + (9 * 2 + -1x * 2) = 6 45 + 5x + (18 + -2x) = 6 Reorder the terms: 45 + 18 + 5x + -2x = 6 Combine like terms: 45 + 18 = 63 63 + 5x + -2x = 6 Combine like terms: 5x + -2x = 3x 63 + 3x = 6 Solving 63 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 3x = 6 + -63 Combine like terms: 63 + -63 = 0 0 + 3x = 6 + -63 3x = 6 + -63 Combine like terms: 6 + -63 = -57 3x = -57 Divide each side by '3'. x = -19 Simplifying x = -19
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