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Simplifying 384 = 8(5x + -12) Reorder the terms: 384 = 8(-12 + 5x) 384 = (-12 * 8 + 5x * 8) 384 = (-96 + 40x) Solving 384 = -96 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 384 + -40x = -96 + 40x + -40x Combine like terms: 40x + -40x = 0 384 + -40x = -96 + 0 384 + -40x = -96 Add '-384' to each side of the equation. 384 + -384 + -40x = -96 + -384 Combine like terms: 384 + -384 = 0 0 + -40x = -96 + -384 -40x = -96 + -384 Combine like terms: -96 + -384 = -480 -40x = -480 Divide each side by '-40'. x = 12 Simplifying x = 12
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