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Simplifying 6(-5x + 8) = 312 Reorder the terms: 6(8 + -5x) = 312 (8 * 6 + -5x * 6) = 312 (48 + -30x) = 312 Solving 48 + -30x = 312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -30x = 312 + -48 Combine like terms: 48 + -48 = 0 0 + -30x = 312 + -48 -30x = 312 + -48 Combine like terms: 312 + -48 = 264 -30x = 264 Divide each side by '-30'. x = -8.8 Simplifying x = -8.8
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