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Simplifying 4(2.5 + -2) = 2(5x + -5) + 2 Combine like terms: 2.5 + -2 = 0.5 4(0.5) = 2(5x + -5) + 2 Multiply 4 * 0.5 2 = 2(5x + -5) + 2 Reorder the terms: 2 = 2(-5 + 5x) + 2 2 = (-5 * 2 + 5x * 2) + 2 2 = (-10 + 10x) + 2 Reorder the terms: 2 = -10 + 2 + 10x Combine like terms: -10 + 2 = -8 2 = -8 + 10x Solving 2 = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -10x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -10x = -8 + 0 2 + -10x = -8 Add '-2' to each side of the equation. 2 + -2 + -10x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -8 + -2 -10x = -8 + -2 Combine like terms: -8 + -2 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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