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Simplifying 90 = 0.5(42 + x) 90 = (42 * 0.5 + x * 0.5) 90 = (21 + 0.5x) Solving 90 = 21 + 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. 90 + -0.5x = 21 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 90 + -0.5x = 21 + 0.0 90 + -0.5x = 21 Add '-90' to each side of the equation. 90 + -90 + -0.5x = 21 + -90 Combine like terms: 90 + -90 = 0 0 + -0.5x = 21 + -90 -0.5x = 21 + -90 Combine like terms: 21 + -90 = -69 -0.5x = -69 Divide each side by '-0.5'. x = 138 Simplifying x = 138
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