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Simplifying 0.2(x + 50) + 1.2x = 59 Reorder the terms: 0.2(50 + x) + 1.2x = 59 (50 * 0.2 + x * 0.2) + 1.2x = 59 (10 + 0.2x) + 1.2x = 59 Combine like terms: 0.2x + 1.2x = 1.4x 10 + 1.4x = 59 Solving 10 + 1.4x = 59 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1.4x = 59 + -10 Combine like terms: 10 + -10 = 0 0 + 1.4x = 59 + -10 1.4x = 59 + -10 Combine like terms: 59 + -10 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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