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Simplifying 2(2x + -5) = 4(8 + -1x) Reorder the terms: 2(-5 + 2x) = 4(8 + -1x) (-5 * 2 + 2x * 2) = 4(8 + -1x) (-10 + 4x) = 4(8 + -1x) -10 + 4x = (8 * 4 + -1x * 4) -10 + 4x = (32 + -4x) Solving -10 + 4x = 32 + -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 + 4x + 4x = 32 + -4x + 4x Combine like terms: 4x + 4x = 8x -10 + 8x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 8x = 32 + 0 -10 + 8x = 32 Add '10' to each side of the equation. -10 + 10 + 8x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 32 + 10 8x = 32 + 10 Combine like terms: 32 + 10 = 42 8x = 42 Divide each side by '8'. x = 5.25 Simplifying x = 5.25
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