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Simplifying 15(x + -9) + -2(x + -6) + 5(x + 3) = 0 Reorder the terms: 15(-9 + x) + -2(x + -6) + 5(x + 3) = 0 (-9 * 15 + x * 15) + -2(x + -6) + 5(x + 3) = 0 (-135 + 15x) + -2(x + -6) + 5(x + 3) = 0 Reorder the terms: -135 + 15x + -2(-6 + x) + 5(x + 3) = 0 -135 + 15x + (-6 * -2 + x * -2) + 5(x + 3) = 0 -135 + 15x + (12 + -2x) + 5(x + 3) = 0 Reorder the terms: -135 + 15x + 12 + -2x + 5(3 + x) = 0 -135 + 15x + 12 + -2x + (3 * 5 + x * 5) = 0 -135 + 15x + 12 + -2x + (15 + 5x) = 0 Reorder the terms: -135 + 12 + 15 + 15x + -2x + 5x = 0 Combine like terms: -135 + 12 = -123 -123 + 15 + 15x + -2x + 5x = 0 Combine like terms: -123 + 15 = -108 -108 + 15x + -2x + 5x = 0 Combine like terms: 15x + -2x = 13x -108 + 13x + 5x = 0 Combine like terms: 13x + 5x = 18x -108 + 18x = 0 Solving -108 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + 18x = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 18x = 0 + 108 18x = 0 + 108 Combine like terms: 0 + 108 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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