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Simplifying 8(x + -4) = -4(x + 2) + 20 Reorder the terms: 8(-4 + x) = -4(x + 2) + 20 (-4 * 8 + x * 8) = -4(x + 2) + 20 (-32 + 8x) = -4(x + 2) + 20 Reorder the terms: -32 + 8x = -4(2 + x) + 20 -32 + 8x = (2 * -4 + x * -4) + 20 -32 + 8x = (-8 + -4x) + 20 Reorder the terms: -32 + 8x = -8 + 20 + -4x Combine like terms: -8 + 20 = 12 -32 + 8x = 12 + -4x Solving -32 + 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. -32 + 8x + 4x = 12 + -4x + 4x Combine like terms: 8x + 4x = 12x -32 + 12x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 12x = 12 + 0 -32 + 12x = 12 Add '32' to each side of the equation. -32 + 32 + 12x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 12 + 32 12x = 12 + 32 Combine like terms: 12 + 32 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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