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Simplifying 117 = (0.5)(2x + 14) Reorder the terms: 117 = 0.5(14 + 2x) 117 = (14 * 0.5 + 2x * 0.5) 117 = (7 + 1x) Solving 117 = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 117 + -1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 117 + -1x = 7 + 0 117 + -1x = 7 Add '-117' to each side of the equation. 117 + -117 + -1x = 7 + -117 Combine like terms: 117 + -117 = 0 0 + -1x = 7 + -117 -1x = 7 + -117 Combine like terms: 7 + -117 = -110 -1x = -110 Divide each side by '-1'. x = 110 Simplifying x = 110
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