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Simplifying 0.6(x + 60) + 1.2x = 117 Reorder the terms: 0.6(60 + x) + 1.2x = 117 (60 * 0.6 + x * 0.6) + 1.2x = 117 (36 + 0.6x) + 1.2x = 117 Combine like terms: 0.6x + 1.2x = 1.8x 36 + 1.8x = 117 Solving 36 + 1.8x = 117 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 + 1.8x = 117 + -36 Combine like terms: 36 + -36 = 0 0 + 1.8x = 117 + -36 1.8x = 117 + -36 Combine like terms: 117 + -36 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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