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Simplifying 180 + -1x = 0.5x + 9 Reorder the terms: 180 + -1x = 9 + 0.5x Solving 180 + -1x = 9 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 180 + -1x + -0.5x = 9 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 180 + -1.5x = 9 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 180 + -1.5x = 9 + 0.0 180 + -1.5x = 9 Add '-180' to each side of the equation. 180 + -180 + -1.5x = 9 + -180 Combine like terms: 180 + -180 = 0 0 + -1.5x = 9 + -180 -1.5x = 9 + -180 Combine like terms: 9 + -180 = -171 -1.5x = -171 Divide each side by '-1.5'. x = 114 Simplifying x = 114
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