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Simplifying 12(2x + -5) + 6(5x + -3) + 15 = 0 Reorder the terms: 12(-5 + 2x) + 6(5x + -3) + 15 = 0 (-5 * 12 + 2x * 12) + 6(5x + -3) + 15 = 0 (-60 + 24x) + 6(5x + -3) + 15 = 0 Reorder the terms: -60 + 24x + 6(-3 + 5x) + 15 = 0 -60 + 24x + (-3 * 6 + 5x * 6) + 15 = 0 -60 + 24x + (-18 + 30x) + 15 = 0 Reorder the terms: -60 + -18 + 15 + 24x + 30x = 0 Combine like terms: -60 + -18 = -78 -78 + 15 + 24x + 30x = 0 Combine like terms: -78 + 15 = -63 -63 + 24x + 30x = 0 Combine like terms: 24x + 30x = 54x -63 + 54x = 0 Solving -63 + 54x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 54x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 54x = 0 + 63 54x = 0 + 63 Combine like terms: 0 + 63 = 63 54x = 63 Divide each side by '54'. x = 1.166666667 Simplifying x = 1.166666667
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