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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 Reorder the terms: 10 + 1.2X + 0.2x = 59 Solving 10 + 1.2X + 0.2x = 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 + 1.2X + -10 + 0.2x = 59 + -10 Reorder the terms: 10 + -10 + 1.2X + 0.2x = 59 + -10 Combine like terms: 10 + -10 = 0 0 + 1.2X + 0.2x = 59 + -10 1.2X + 0.2x = 59 + -10 Combine like terms: 59 + -10 = 49 1.2X + 0.2x = 49 Add '-0.2x' to each side of the equation. 1.2X + 0.2x + -0.2x = 49 + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.2X + 0.0 = 49 + -0.2x 1.2X = 49 + -0.2x Divide each side by '1.2'. X = 40.83333333 + -0.1666666667x Simplifying X = 40.83333333 + -0.1666666667x
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