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Simplifying 5(4x + -6) + 12x + -15 = 0 Reorder the terms: 5(-6 + 4x) + 12x + -15 = 0 (-6 * 5 + 4x * 5) + 12x + -15 = 0 (-30 + 20x) + 12x + -15 = 0 Reorder the terms: -30 + -15 + 20x + 12x = 0 Combine like terms: -30 + -15 = -45 -45 + 20x + 12x = 0 Combine like terms: 20x + 12x = 32x -45 + 32x = 0 Solving -45 + 32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 32x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 32x = 0 + 45 32x = 0 + 45 Combine like terms: 0 + 45 = 45 32x = 45 Divide each side by '32'. x = 1.40625 Simplifying x = 1.40625
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