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Simplifying -2.5(2x + -4) = 2.25(8 + -2x) Reorder the terms: -2.5(-4 + 2x) = 2.25(8 + -2x) (-4 * -2.5 + 2x * -2.5) = 2.25(8 + -2x) (10 + -5x) = 2.25(8 + -2x) 10 + -5x = (8 * 2.25 + -2x * 2.25) 10 + -5x = (18 + -4.5x) Solving 10 + -5x = 18 + -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. 10 + -5x + 4.5x = 18 + -4.5x + 4.5x Combine like terms: -5x + 4.5x = -0.5x 10 + -0.5x = 18 + -4.5x + 4.5x Combine like terms: -4.5x + 4.5x = 0.0 10 + -0.5x = 18 + 0.0 10 + -0.5x = 18 Add '-10' to each side of the equation. 10 + -10 + -0.5x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5x = 18 + -10 -0.5x = 18 + -10 Combine like terms: 18 + -10 = 8 -0.5x = 8 Divide each side by '-0.5'. x = -16 Simplifying x = -16
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