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Simplifying 42 = 0.15x + 0.2x Combine like terms: 0.15x + 0.2x = 0.35x 42 = 0.35x Solving 42 = 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. 42 + -0.35x = 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 42 + -0.35x = 0.00 Add '-42' to each side of the equation. 42 + -42 + -0.35x = 0.00 + -42 Combine like terms: 42 + -42 = 0 0 + -0.35x = 0.00 + -42 -0.35x = 0.00 + -42 Combine like terms: 0.00 + -42 = -42 -0.35x = -42 Divide each side by '-0.35'. x = 120 Simplifying x = 120
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