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Simplifying 2(5x + -5) = 4(x + 5) Reorder the terms: 2(-5 + 5x) = 4(x + 5) (-5 * 2 + 5x * 2) = 4(x + 5) (-10 + 10x) = 4(x + 5) Reorder the terms: -10 + 10x = 4(5 + x) -10 + 10x = (5 * 4 + x * 4) -10 + 10x = (20 + 4x) Solving -10 + 10x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 10x + -4x = 20 + 4x + -4x Combine like terms: 10x + -4x = 6x -10 + 6x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 6x = 20 + 0 -10 + 6x = 20 Add '10' to each side of the equation. -10 + 10 + 6x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 20 + 10 6x = 20 + 10 Combine like terms: 20 + 10 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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