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Simplifying 6(5 + -3x) + -1(12x + 15) = 0 (5 * 6 + -3x * 6) + -1(12x + 15) = 0 (30 + -18x) + -1(12x + 15) = 0 Reorder the terms: 30 + -18x + -1(15 + 12x) = 0 30 + -18x + (15 * -1 + 12x * -1) = 0 30 + -18x + (-15 + -12x) = 0 Reorder the terms: 30 + -15 + -18x + -12x = 0 Combine like terms: 30 + -15 = 15 15 + -18x + -12x = 0 Combine like terms: -18x + -12x = -30x 15 + -30x = 0 Solving 15 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -30x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -30x = 0 + -15 -30x = 0 + -15 Combine like terms: 0 + -15 = -15 -30x = -15 Divide each side by '-30'. x = 0.5 Simplifying x = 0.5
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