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Simplifying 2.5(x + 2) = 2(x + 2) + 3x Reorder the terms: 2.5(2 + x) = 2(x + 2) + 3x (2 * 2.5 + x * 2.5) = 2(x + 2) + 3x (5 + 2.5x) = 2(x + 2) + 3x Reorder the terms: 5 + 2.5x = 2(2 + x) + 3x 5 + 2.5x = (2 * 2 + x * 2) + 3x 5 + 2.5x = (4 + 2x) + 3x Combine like terms: 2x + 3x = 5x 5 + 2.5x = 4 + 5x Solving 5 + 2.5x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 2.5x + -5x = 4 + 5x + -5x Combine like terms: 2.5x + -5x = -2.5x 5 + -2.5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -2.5x = 4 + 0 5 + -2.5x = 4 Add '-5' to each side of the equation. 5 + -5 + -2.5x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -2.5x = 4 + -5 -2.5x = 4 + -5 Combine like terms: 4 + -5 = -1 -2.5x = -1 Divide each side by '-2.5'. x = 0.4 Simplifying x = 0.4
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