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Simplifying 4(8 + -2x) + -2 = 6(5 + -2x) + -20x (8 * 4 + -2x * 4) + -2 = 6(5 + -2x) + -20x (32 + -8x) + -2 = 6(5 + -2x) + -20x Reorder the terms: 32 + -2 + -8x = 6(5 + -2x) + -20x Combine like terms: 32 + -2 = 30 30 + -8x = 6(5 + -2x) + -20x 30 + -8x = (5 * 6 + -2x * 6) + -20x 30 + -8x = (30 + -12x) + -20x Combine like terms: -12x + -20x = -32x 30 + -8x = 30 + -32x Add '-30' to each side of the equation. 30 + -30 + -8x = 30 + -30 + -32x Combine like terms: 30 + -30 = 0 0 + -8x = 30 + -30 + -32x -8x = 30 + -30 + -32x Combine like terms: 30 + -30 = 0 -8x = 0 + -32x -8x = -32x Solving -8x = -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -8x + 32x = -32x + 32x Combine like terms: -8x + 32x = 24x 24x = -32x + 32x Combine like terms: -32x + 32x = 0 24x = 0 Divide each side by '24'. x = 0 Simplifying x = 0
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