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Simplifying 0.4(x + 500) = (x + 0.3 * 500) Reorder the terms: 0.4(500 + x) = (x + 0.3 * 500) (500 * 0.4 + x * 0.4) = (x + 0.3 * 500) (200 + 0.4x) = (x + 0.3 * 500) Multiply 0.3 * 500 200 + 0.4x = (x + 150) Reorder the terms: 200 + 0.4x = (150 + x) Remove parenthesis around (150 + x) 200 + 0.4x = 150 + x Solving 200 + 0.4x = 150 + 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. 200 + 0.4x + -1x = 150 + x + -1x Combine like terms: 0.4x + -1x = -0.6x 200 + -0.6x = 150 + x + -1x Combine like terms: x + -1x = 0 200 + -0.6x = 150 + 0 200 + -0.6x = 150 Add '-200' to each side of the equation. 200 + -200 + -0.6x = 150 + -200 Combine like terms: 200 + -200 = 0 0 + -0.6x = 150 + -200 -0.6x = 150 + -200 Combine like terms: 150 + -200 = -50 -0.6x = -50 Divide each side by '-0.6'. x = 83.33333333 Simplifying x = 83.33333333
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