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Simplifying 2(4x + -6) + 20x = -4(8 + -2x) Reorder the terms: 2(-6 + 4x) + 20x = -4(8 + -2x) (-6 * 2 + 4x * 2) + 20x = -4(8 + -2x) (-12 + 8x) + 20x = -4(8 + -2x) Combine like terms: 8x + 20x = 28x -12 + 28x = -4(8 + -2x) -12 + 28x = (8 * -4 + -2x * -4) -12 + 28x = (-32 + 8x) Solving -12 + 28x = -32 + 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. -12 + 28x + -8x = -32 + 8x + -8x Combine like terms: 28x + -8x = 20x -12 + 20x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 20x = -32 + 0 -12 + 20x = -32 Add '12' to each side of the equation. -12 + 12 + 20x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = -32 + 12 20x = -32 + 12 Combine like terms: -32 + 12 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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