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Simplifying 0.5(37 + x) = 16 + x (37 * 0.5 + x * 0.5) = 16 + x (18.5 + 0.5x) = 16 + x Solving 18.5 + 0.5x = 16 + x 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. 18.5 + 0.5x + -1x = 16 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 18.5 + -0.5x = 16 + x + -1x Combine like terms: x + -1x = 0 18.5 + -0.5x = 16 + 0 18.5 + -0.5x = 16 Add '-18.5' to each side of the equation. 18.5 + -18.5 + -0.5x = 16 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + -0.5x = 16 + -18.5 -0.5x = 16 + -18.5 Combine like terms: 16 + -18.5 = -2.5 -0.5x = -2.5 Divide each side by '-0.5'. x = 5 Simplifying x = 5
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