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Simplifying (1 + -0.5) * x + 12 = 5x + -1(17 + -12) Combine like terms: 1 + -0.5 = 0.5 (0.5) * x + 12 = 5x + -1(17 + -12) Reorder the terms: 12 + 0.5x = 5x + -1(17 + -12) Combine like terms: 17 + -12 = 5 12 + 0.5x = 5x + -1(5) Multiply -1 * 5 12 + 0.5x = 5x + -5 Reorder the terms: 12 + 0.5x = -5 + 5x Solving 12 + 0.5x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 0.5x + -5x = -5 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x 12 + -4.5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -4.5x = -5 + 0 12 + -4.5x = -5 Add '-12' to each side of the equation. 12 + -12 + -4.5x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -4.5x = -5 + -12 -4.5x = -5 + -12 Combine like terms: -5 + -12 = -17 -4.5x = -17 Divide each side by '-4.5'. x = 3.777777778 Simplifying x = 3.777777778
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