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Simplifying x + 0.8x + 2 = 2.5(x + -2) Reorder the terms: 2 + x + 0.8x = 2.5(x + -2) Combine like terms: x + 0.8x = 1.8x 2 + 1.8x = 2.5(x + -2) Reorder the terms: 2 + 1.8x = 2.5(-2 + x) 2 + 1.8x = (-2 * 2.5 + x * 2.5) 2 + 1.8x = (-5 + 2.5x) Solving 2 + 1.8x = -5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 2 + 1.8x + -2.5x = -5 + 2.5x + -2.5x Combine like terms: 1.8x + -2.5x = -0.7x 2 + -0.7x = -5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 2 + -0.7x = -5 + 0.0 2 + -0.7x = -5 Add '-2' to each side of the equation. 2 + -2 + -0.7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.7x = -5 + -2 -0.7x = -5 + -2 Combine like terms: -5 + -2 = -7 -0.7x = -7 Divide each side by '-0.7'. x = 10 Simplifying x = 10
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