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Simplifying 0.1(180 + x) = x (180 * 0.1 + x * 0.1) = x (18 + 0.1x) = x Solving 18 + 0.1x = 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 + 0.1x + -1x = x + -1x Combine like terms: 0.1x + -1x = -0.9x 18 + -0.9x = x + -1x Combine like terms: x + -1x = 0 18 + -0.9x = 0 Add '-18' to each side of the equation. 18 + -18 + -0.9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -0.9x = 0 + -18 -0.9x = 0 + -18 Combine like terms: 0 + -18 = -18 -0.9x = -18 Divide each side by '-0.9'. x = 20 Simplifying x = 20
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