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Simplifying 2(2x + -4) = 4(4 + -2x) + -36 Reorder the terms: 2(-4 + 2x) = 4(4 + -2x) + -36 (-4 * 2 + 2x * 2) = 4(4 + -2x) + -36 (-8 + 4x) = 4(4 + -2x) + -36 -8 + 4x = (4 * 4 + -2x * 4) + -36 -8 + 4x = (16 + -8x) + -36 Reorder the terms: -8 + 4x = 16 + -36 + -8x Combine like terms: 16 + -36 = -20 -8 + 4x = -20 + -8x Solving -8 + 4x = -20 + -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. -8 + 4x + 8x = -20 + -8x + 8x Combine like terms: 4x + 8x = 12x -8 + 12x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 12x = -20 + 0 -8 + 12x = -20 Add '8' to each side of the equation. -8 + 8 + 12x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = -20 + 8 12x = -20 + 8 Combine like terms: -20 + 8 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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