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Simplifying 0.15x + 0.4(150) = 0.35(x + 150) Multiply 0.4 * 150 0.15x + 60 = 0.35(x + 150) Reorder the terms: 60 + 0.15x = 0.35(x + 150) Reorder the terms: 60 + 0.15x = 0.35(150 + x) 60 + 0.15x = (150 * 0.35 + x * 0.35) 60 + 0.15x = (52.5 + 0.35x) Solving 60 + 0.15x = 52.5 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 60 + 0.15x + -0.35x = 52.5 + 0.35x + -0.35x Combine like terms: 0.15x + -0.35x = -0.2x 60 + -0.2x = 52.5 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 60 + -0.2x = 52.5 + 0.00 60 + -0.2x = 52.5 Add '-60' to each side of the equation. 60 + -60 + -0.2x = 52.5 + -60 Combine like terms: 60 + -60 = 0 0 + -0.2x = 52.5 + -60 -0.2x = 52.5 + -60 Combine like terms: 52.5 + -60 = -7.5 -0.2x = -7.5 Divide each side by '-0.2'. x = 37.5 Simplifying x = 37.5
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