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Simplifying 5(3x + -1) + -12x + -9 = 0 Reorder the terms: 5(-1 + 3x) + -12x + -9 = 0 (-1 * 5 + 3x * 5) + -12x + -9 = 0 (-5 + 15x) + -12x + -9 = 0 Reorder the terms: -5 + -9 + 15x + -12x = 0 Combine like terms: -5 + -9 = -14 -14 + 15x + -12x = 0 Combine like terms: 15x + -12x = 3x -14 + 3x = 0 Solving -14 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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