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Simplifying 0.40(x + 138) = x Reorder the terms: 0.40(138 + x) = x (138 * 0.40 + x * 0.40) = x (55.2 + 0.40x) = x Solving 55.2 + 0.40x = 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. 55.2 + 0.40x + -1x = x + -1x Combine like terms: 0.40x + -1x = -0.6x 55.2 + -0.6x = x + -1x Combine like terms: x + -1x = 0 55.2 + -0.6x = 0 Add '-55.2' to each side of the equation. 55.2 + -55.2 + -0.6x = 0 + -55.2 Combine like terms: 55.2 + -55.2 = 0.0 0.0 + -0.6x = 0 + -55.2 -0.6x = 0 + -55.2 Combine like terms: 0 + -55.2 = -55.2 -0.6x = -55.2 Divide each side by '-0.6'. x = 92 Simplifying x = 92
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