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Simplifying 2(5.6x + 2) = 3(2.5x + 2.875) Reorder the terms: 2(2 + 5.6x) = 3(2.5x + 2.875) (2 * 2 + 5.6x * 2) = 3(2.5x + 2.875) (4 + 11.2x) = 3(2.5x + 2.875) Reorder the terms: 4 + 11.2x = 3(2.875 + 2.5x) 4 + 11.2x = (2.875 * 3 + 2.5x * 3) 4 + 11.2x = (8.625 + 7.5x) Solving 4 + 11.2x = 8.625 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 4 + 11.2x + -7.5x = 8.625 + 7.5x + -7.5x Combine like terms: 11.2x + -7.5x = 3.7x 4 + 3.7x = 8.625 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 4 + 3.7x = 8.625 + 0.0 4 + 3.7x = 8.625 Add '-4' to each side of the equation. 4 + -4 + 3.7x = 8.625 + -4 Combine like terms: 4 + -4 = 0 0 + 3.7x = 8.625 + -4 3.7x = 8.625 + -4 Combine like terms: 8.625 + -4 = 4.625 3.7x = 4.625 Divide each side by '3.7'. x = 1.25 Simplifying x = 1.25
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