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Simplifying 27 + x = 0.5(180 + -1x) 27 + x = (180 * 0.5 + -1x * 0.5) 27 + x = (90 + -0.5x) Solving 27 + x = 90 + -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. 27 + x + 0.5x = 90 + -0.5x + 0.5x Combine like terms: x + 0.5x = 1.5x 27 + 1.5x = 90 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 27 + 1.5x = 90 + 0.0 27 + 1.5x = 90 Add '-27' to each side of the equation. 27 + -27 + 1.5x = 90 + -27 Combine like terms: 27 + -27 = 0 0 + 1.5x = 90 + -27 1.5x = 90 + -27 Combine like terms: 90 + -27 = 63 1.5x = 63 Divide each side by '1.5'. x = 42 Simplifying x = 42
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