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Simplifying 5(x + 9) + 2(-1x + 3) = 6 Reorder the terms: 5(9 + x) + 2(-1x + 3) = 6 (9 * 5 + x * 5) + 2(-1x + 3) = 6 (45 + 5x) + 2(-1x + 3) = 6 Reorder the terms: 45 + 5x + 2(3 + -1x) = 6 45 + 5x + (3 * 2 + -1x * 2) = 6 45 + 5x + (6 + -2x) = 6 Reorder the terms: 45 + 6 + 5x + -2x = 6 Combine like terms: 45 + 6 = 51 51 + 5x + -2x = 6 Combine like terms: 5x + -2x = 3x 51 + 3x = 6 Solving 51 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 3x = 6 + -51 Combine like terms: 51 + -51 = 0 0 + 3x = 6 + -51 3x = 6 + -51 Combine like terms: 6 + -51 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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