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Simplifying 0.30x + 0.90(400) = 0.40(x + 400) Multiply 0.90 * 400 0.30x + 360 = 0.40(x + 400) Reorder the terms: 360 + 0.30x = 0.40(x + 400) Reorder the terms: 360 + 0.30x = 0.40(400 + x) 360 + 0.30x = (400 * 0.40 + x * 0.40) 360 + 0.30x = (160 + 0.40x) Solving 360 + 0.30x = 160 + 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. 360 + 0.30x + -0.40x = 160 + 0.40x + -0.40x Combine like terms: 0.30x + -0.40x = -0.1x 360 + -0.1x = 160 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 360 + -0.1x = 160 + 0.00 360 + -0.1x = 160 Add '-360' to each side of the equation. 360 + -360 + -0.1x = 160 + -360 Combine like terms: 360 + -360 = 0 0 + -0.1x = 160 + -360 -0.1x = 160 + -360 Combine like terms: 160 + -360 = -200 -0.1x = -200 Divide each side by '-0.1'. x = 2000 Simplifying x = 2000
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