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Simplifying 15(x + -4) + -2(x + -9) + 5(x + 6) = 0 Reorder the terms: 15(-4 + x) + -2(x + -9) + 5(x + 6) = 0 (-4 * 15 + x * 15) + -2(x + -9) + 5(x + 6) = 0 (-60 + 15x) + -2(x + -9) + 5(x + 6) = 0 Reorder the terms: -60 + 15x + -2(-9 + x) + 5(x + 6) = 0 -60 + 15x + (-9 * -2 + x * -2) + 5(x + 6) = 0 -60 + 15x + (18 + -2x) + 5(x + 6) = 0 Reorder the terms: -60 + 15x + 18 + -2x + 5(6 + x) = 0 -60 + 15x + 18 + -2x + (6 * 5 + x * 5) = 0 -60 + 15x + 18 + -2x + (30 + 5x) = 0 Reorder the terms: -60 + 18 + 30 + 15x + -2x + 5x = 0 Combine like terms: -60 + 18 = -42 -42 + 30 + 15x + -2x + 5x = 0 Combine like terms: -42 + 30 = -12 -12 + 15x + -2x + 5x = 0 Combine like terms: 15x + -2x = 13x -12 + 13x + 5x = 0 Combine like terms: 13x + 5x = 18x -12 + 18x = 0 Solving -12 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 18x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 0 + 12 18x = 0 + 12 Combine like terms: 0 + 12 = 12 18x = 12 Divide each side by '18'. x = 0.6666666667 Simplifying x = 0.6666666667
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