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Simplifying 2(4x + -5) = 10 + -2x Reorder the terms: 2(-5 + 4x) = 10 + -2x (-5 * 2 + 4x * 2) = 10 + -2x (-10 + 8x) = 10 + -2x Solving -10 + 8x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 8x + 2x = 10 + -2x + 2x Combine like terms: 8x + 2x = 10x -10 + 10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 10x = 10 + 0 -10 + 10x = 10 Add '10' to each side of the equation. -10 + 10 + 10x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 10 + 10 10x = 10 + 10 Combine like terms: 10 + 10 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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