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Simplifying 4(2.5x + -2) = 1(5x + -5) + 2 Reorder the terms: 4(-2 + 2.5x) = 1(5x + -5) + 2 (-2 * 4 + 2.5x * 4) = 1(5x + -5) + 2 (-8 + 10x) = 1(5x + -5) + 2 Reorder the terms: -8 + 10x = 1(-5 + 5x) + 2 -8 + 10x = (-5 * 1 + 5x * 1) + 2 -8 + 10x = (-5 + 5x) + 2 Reorder the terms: -8 + 10x = -5 + 2 + 5x Combine like terms: -5 + 2 = -3 -8 + 10x = -3 + 5x Solving -8 + 10x = -3 + 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. -8 + 10x + -5x = -3 + 5x + -5x Combine like terms: 10x + -5x = 5x -8 + 5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 5x = -3 + 0 -8 + 5x = -3 Add '8' to each side of the equation. -8 + 8 + 5x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -3 + 8 5x = -3 + 8 Combine like terms: -3 + 8 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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