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Simplifying 5(x + 3) + -4(2x + -9) = 0 Reorder the terms: 5(3 + x) + -4(2x + -9) = 0 (3 * 5 + x * 5) + -4(2x + -9) = 0 (15 + 5x) + -4(2x + -9) = 0 Reorder the terms: 15 + 5x + -4(-9 + 2x) = 0 15 + 5x + (-9 * -4 + 2x * -4) = 0 15 + 5x + (36 + -8x) = 0 Reorder the terms: 15 + 36 + 5x + -8x = 0 Combine like terms: 15 + 36 = 51 51 + 5x + -8x = 0 Combine like terms: 5x + -8x = -3x 51 + -3x = 0 Solving 51 + -3x = 0 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 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -3x = 0 + -51 -3x = 0 + -51 Combine like terms: 0 + -51 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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