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Simplifying 78 = 0.5x + (x + -6) Reorder the terms: 78 = 0.5x + (-6 + x) Remove parenthesis around (-6 + x) 78 = 0.5x + -6 + x Reorder the terms: 78 = -6 + 0.5x + x Combine like terms: 0.5x + x = 1.5x 78 = -6 + 1.5x Solving 78 = -6 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 78 + -1.5x = -6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 78 + -1.5x = -6 + 0.0 78 + -1.5x = -6 Add '-78' to each side of the equation. 78 + -78 + -1.5x = -6 + -78 Combine like terms: 78 + -78 = 0 0 + -1.5x = -6 + -78 -1.5x = -6 + -78 Combine like terms: -6 + -78 = -84 -1.5x = -84 Divide each side by '-1.5'. x = 56 Simplifying x = 56
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