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Simplifying 6(2x + 8) + -4(8x + -5) = -12 Reorder the terms: 6(8 + 2x) + -4(8x + -5) = -12 (8 * 6 + 2x * 6) + -4(8x + -5) = -12 (48 + 12x) + -4(8x + -5) = -12 Reorder the terms: 48 + 12x + -4(-5 + 8x) = -12 48 + 12x + (-5 * -4 + 8x * -4) = -12 48 + 12x + (20 + -32x) = -12 Reorder the terms: 48 + 20 + 12x + -32x = -12 Combine like terms: 48 + 20 = 68 68 + 12x + -32x = -12 Combine like terms: 12x + -32x = -20x 68 + -20x = -12 Solving 68 + -20x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -20x = -12 + -68 Combine like terms: 68 + -68 = 0 0 + -20x = -12 + -68 -20x = -12 + -68 Combine like terms: -12 + -68 = -80 -20x = -80 Divide each side by '-20'. x = 4 Simplifying x = 4
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