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Simplifying 9(x + 39) + -1(45 + -18x) = 15 + -3x Reorder the terms: 9(39 + x) + -1(45 + -18x) = 15 + -3x (39 * 9 + x * 9) + -1(45 + -18x) = 15 + -3x (351 + 9x) + -1(45 + -18x) = 15 + -3x 351 + 9x + (45 * -1 + -18x * -1) = 15 + -3x 351 + 9x + (-45 + 18x) = 15 + -3x Reorder the terms: 351 + -45 + 9x + 18x = 15 + -3x Combine like terms: 351 + -45 = 306 306 + 9x + 18x = 15 + -3x Combine like terms: 9x + 18x = 27x 306 + 27x = 15 + -3x Solving 306 + 27x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 306 + 27x + 3x = 15 + -3x + 3x Combine like terms: 27x + 3x = 30x 306 + 30x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 306 + 30x = 15 + 0 306 + 30x = 15 Add '-306' to each side of the equation. 306 + -306 + 30x = 15 + -306 Combine like terms: 306 + -306 = 0 0 + 30x = 15 + -306 30x = 15 + -306 Combine like terms: 15 + -306 = -291 30x = -291 Divide each side by '30'. x = -9.7 Simplifying x = -9.7
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