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Simplifying 5 + -6(0.5x + -8) = 76 Reorder the terms: 5 + -6(-8 + 0.5x) = 76 5 + (-8 * -6 + 0.5x * -6) = 76 5 + (48 + -3x) = 76 Combine like terms: 5 + 48 = 53 53 + -3x = 76 Solving 53 + -3x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -3x = 76 + -53 Combine like terms: 53 + -53 = 0 0 + -3x = 76 + -53 -3x = 76 + -53 Combine like terms: 76 + -53 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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