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Simplifying 2.5(x + 2) = 4.5x + -5 Reorder the terms: 2.5(2 + x) = 4.5x + -5 (2 * 2.5 + x * 2.5) = 4.5x + -5 (5 + 2.5x) = 4.5x + -5 Reorder the terms: 5 + 2.5x = -5 + 4.5x Solving 5 + 2.5x = -5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 5 + 2.5x + -4.5x = -5 + 4.5x + -4.5x Combine like terms: 2.5x + -4.5x = -2x 5 + -2x = -5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 5 + -2x = -5 + 0.0 5 + -2x = -5 Add '-5' to each side of the equation. 5 + -5 + -2x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -5 + -5 -2x = -5 + -5 Combine like terms: -5 + -5 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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