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Simplifying 0.35x + 0.46(400) = 0.45(x + 400) Multiply 0.46 * 400 0.35x + 184 = 0.45(x + 400) Reorder the terms: 184 + 0.35x = 0.45(x + 400) Reorder the terms: 184 + 0.35x = 0.45(400 + x) 184 + 0.35x = (400 * 0.45 + x * 0.45) 184 + 0.35x = (180 + 0.45x) Solving 184 + 0.35x = 180 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 184 + 0.35x + -0.45x = 180 + 0.45x + -0.45x Combine like terms: 0.35x + -0.45x = -0.1x 184 + -0.1x = 180 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 184 + -0.1x = 180 + 0.00 184 + -0.1x = 180 Add '-184' to each side of the equation. 184 + -184 + -0.1x = 180 + -184 Combine like terms: 184 + -184 = 0 0 + -0.1x = 180 + -184 -0.1x = 180 + -184 Combine like terms: 180 + -184 = -4 -0.1x = -4 Divide each side by '-0.1'. x = 40 Simplifying x = 40
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