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Simplifying 0.15x + 0.40(120 + -1x) = -0.05x 0.15x + (120 * 0.40 + -1x * 0.40) = -0.05x 0.15x + (48 + -0.4x) = -0.05x Reorder the terms: 48 + 0.15x + -0.4x = -0.05x Combine like terms: 0.15x + -0.4x = -0.25x 48 + -0.25x = -0.05x Solving 48 + -0.25x = -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. 48 + -0.25x + 0.05x = -0.05x + 0.05x Combine like terms: -0.25x + 0.05x = -0.2x 48 + -0.2x = -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 48 + -0.2x = 0.00 Add '-48' to each side of the equation. 48 + -48 + -0.2x = 0.00 + -48 Combine like terms: 48 + -48 = 0 0 + -0.2x = 0.00 + -48 -0.2x = 0.00 + -48 Combine like terms: 0.00 + -48 = -48 -0.2x = -48 Divide each side by '-0.2'. x = 240 Simplifying x = 240
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