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Simplifying 0.30x + 0.90(100) = 0.40(100 + x) Multiply 0.90 * 100 0.30x + 90 = 0.40(100 + x) Reorder the terms: 90 + 0.30x = 0.40(100 + x) 90 + 0.30x = (100 * 0.40 + x * 0.40) 90 + 0.30x = (40 + 0.40x) Solving 90 + 0.30x = 40 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 90 + 0.30x + -0.40x = 40 + 0.40x + -0.40x Combine like terms: 0.30x + -0.40x = -0.1x 90 + -0.1x = 40 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 90 + -0.1x = 40 + 0.00 90 + -0.1x = 40 Add '-90' to each side of the equation. 90 + -90 + -0.1x = 40 + -90 Combine like terms: 90 + -90 = 0 0 + -0.1x = 40 + -90 -0.1x = 40 + -90 Combine like terms: 40 + -90 = -50 -0.1x = -50 Divide each side by '-0.1'. x = 500 Simplifying x = 500
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