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Simplifying 0.50x + 0.30(120 + -1x) = 4.80 0.50x + (120 * 0.30 + -1x * 0.30) = 4.80 0.50x + (36 + -0.3x) = 4.80 Reorder the terms: 36 + 0.50x + -0.3x = 4.80 Combine like terms: 0.50x + -0.3x = 0.2x 36 + 0.2x = 4.80 Solving 36 + 0.2x = 4.80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 0.2x = 4.80 + -36 Combine like terms: 36 + -36 = 0 0 + 0.2x = 4.80 + -36 0.2x = 4.80 + -36 Combine like terms: 4.80 + -36 = -31.2 0.2x = -31.2 Divide each side by '0.2'. x = -156 Simplifying x = -156
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