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Simplifying 4(2x + -4) + -4 = 4(x + -5) + 8 Reorder the terms: 4(-4 + 2x) + -4 = 4(x + -5) + 8 (-4 * 4 + 2x * 4) + -4 = 4(x + -5) + 8 (-16 + 8x) + -4 = 4(x + -5) + 8 Reorder the terms: -16 + -4 + 8x = 4(x + -5) + 8 Combine like terms: -16 + -4 = -20 -20 + 8x = 4(x + -5) + 8 Reorder the terms: -20 + 8x = 4(-5 + x) + 8 -20 + 8x = (-5 * 4 + x * 4) + 8 -20 + 8x = (-20 + 4x) + 8 Reorder the terms: -20 + 8x = -20 + 8 + 4x Combine like terms: -20 + 8 = -12 -20 + 8x = -12 + 4x Solving -20 + 8x = -12 + 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. -20 + 8x + -4x = -12 + 4x + -4x Combine like terms: 8x + -4x = 4x -20 + 4x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 4x = -12 + 0 -20 + 4x = -12 Add '20' to each side of the equation. -20 + 20 + 4x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -12 + 20 4x = -12 + 20 Combine like terms: -12 + 20 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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