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Simplifying 4(2x + -8) = 4(x + -5) + -2 Reorder the terms: 4(-8 + 2x) = 4(x + -5) + -2 (-8 * 4 + 2x * 4) = 4(x + -5) + -2 (-32 + 8x) = 4(x + -5) + -2 Reorder the terms: -32 + 8x = 4(-5 + x) + -2 -32 + 8x = (-5 * 4 + x * 4) + -2 -32 + 8x = (-20 + 4x) + -2 Reorder the terms: -32 + 8x = -20 + -2 + 4x Combine like terms: -20 + -2 = -22 -32 + 8x = -22 + 4x Solving -32 + 8x = -22 + 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. -32 + 8x + -4x = -22 + 4x + -4x Combine like terms: 8x + -4x = 4x -32 + 4x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 4x = -22 + 0 -32 + 4x = -22 Add '32' to each side of the equation. -32 + 32 + 4x = -22 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -22 + 32 4x = -22 + 32 Combine like terms: -22 + 32 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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