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