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Simplifying 4(3x + -4) + 4(1 + -8x) = 68 Reorder the terms: 4(-4 + 3x) + 4(1 + -8x) = 68 (-4 * 4 + 3x * 4) + 4(1 + -8x) = 68 (-16 + 12x) + 4(1 + -8x) = 68 -16 + 12x + (1 * 4 + -8x * 4) = 68 -16 + 12x + (4 + -32x) = 68 Reorder the terms: -16 + 4 + 12x + -32x = 68 Combine like terms: -16 + 4 = -12 -12 + 12x + -32x = 68 Combine like terms: 12x + -32x = -20x -12 + -20x = 68 Solving -12 + -20x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -20x = 68 + 12 Combine like terms: -12 + 12 = 0 0 + -20x = 68 + 12 -20x = 68 + 12 Combine like terms: 68 + 12 = 80 -20x = 80 Divide each side by '-20'. x = -4 Simplifying x = -4
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