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Simplifying 0.5(20 + X) + -2.5x = 0.15(40) (20 * 0.5 + X * 0.5) + -2.5x = 0.15(40) (10 + 0.5X) + -2.5x = 0.15(40) Multiply 0.15 * 40 10 + 0.5X + -2.5x = 6 Solving 10 + 0.5X + -2.5x = 6 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 + 0.5X + -10 + -2.5x = 6 + -10 Reorder the terms: 10 + -10 + 0.5X + -2.5x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 0.5X + -2.5x = 6 + -10 0.5X + -2.5x = 6 + -10 Combine like terms: 6 + -10 = -4 0.5X + -2.5x = -4 Add '2.5x' to each side of the equation. 0.5X + -2.5x + 2.5x = -4 + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 0.5X + 0.0 = -4 + 2.5x 0.5X = -4 + 2.5x Divide each side by '0.5'. X = -8 + 5x Simplifying X = -8 + 5x
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