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Simplifying 72 = -6(8 + 2x) + 8(1 + 5x) 72 = (8 * -6 + 2x * -6) + 8(1 + 5x) 72 = (-48 + -12x) + 8(1 + 5x) 72 = -48 + -12x + (1 * 8 + 5x * 8) 72 = -48 + -12x + (8 + 40x) Reorder the terms: 72 = -48 + 8 + -12x + 40x Combine like terms: -48 + 8 = -40 72 = -40 + -12x + 40x Combine like terms: -12x + 40x = 28x 72 = -40 + 28x Solving 72 = -40 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 72 + -28x = -40 + 28x + -28x Combine like terms: 28x + -28x = 0 72 + -28x = -40 + 0 72 + -28x = -40 Add '-72' to each side of the equation. 72 + -72 + -28x = -40 + -72 Combine like terms: 72 + -72 = 0 0 + -28x = -40 + -72 -28x = -40 + -72 Combine like terms: -40 + -72 = -112 -28x = -112 Divide each side by '-28'. x = 4 Simplifying x = 4
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