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Simplifying 1.35x + 0.40(120 + -1x) = 1.05x 1.35x + (120 * 0.40 + -1x * 0.40) = 1.05x 1.35x + (48 + -0.4x) = 1.05x Reorder the terms: 48 + 1.35x + -0.4x = 1.05x Combine like terms: 1.35x + -0.4x = 0.95x 48 + 0.95x = 1.05x Solving 48 + 0.95x = 1.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05x' to each side of the equation. 48 + 0.95x + -1.05x = 1.05x + -1.05x Combine like terms: 0.95x + -1.05x = -0.1x 48 + -0.1x = 1.05x + -1.05x Combine like terms: 1.05x + -1.05x = 0.00 48 + -0.1x = 0.00 Add '-48' to each side of the equation. 48 + -48 + -0.1x = 0.00 + -48 Combine like terms: 48 + -48 = 0 0 + -0.1x = 0.00 + -48 -0.1x = 0.00 + -48 Combine like terms: 0.00 + -48 = -48 -0.1x = -48 Divide each side by '-0.1'. x = 480 Simplifying x = 480
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