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Simplifying 0.5(4 + -6x) + 8 = 5 (4 * 0.5 + -6x * 0.5) + 8 = 5 (2 + -3x) + 8 = 5 Reorder the terms: 2 + 8 + -3x = 5 Combine like terms: 2 + 8 = 10 10 + -3x = 5 Solving 10 + -3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 5 + -10 -3x = 5 + -10 Combine like terms: 5 + -10 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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