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Simplifying 4(2x + -8) + 12x = 6(2x + -1) + -2 Reorder the terms: 4(-8 + 2x) + 12x = 6(2x + -1) + -2 (-8 * 4 + 2x * 4) + 12x = 6(2x + -1) + -2 (-32 + 8x) + 12x = 6(2x + -1) + -2 Combine like terms: 8x + 12x = 20x -32 + 20x = 6(2x + -1) + -2 Reorder the terms: -32 + 20x = 6(-1 + 2x) + -2 -32 + 20x = (-1 * 6 + 2x * 6) + -2 -32 + 20x = (-6 + 12x) + -2 Reorder the terms: -32 + 20x = -6 + -2 + 12x Combine like terms: -6 + -2 = -8 -32 + 20x = -8 + 12x Solving -32 + 20x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 20x + -12x = -8 + 12x + -12x Combine like terms: 20x + -12x = 8x -32 + 8x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + 8x = -8 + 0 -32 + 8x = -8 Add '32' to each side of the equation. -32 + 32 + 8x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -8 + 32 8x = -8 + 32 Combine like terms: -8 + 32 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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