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Simplifying -4(4x + -12) + 4(3x + 8) = 0 Reorder the terms: -4(-12 + 4x) + 4(3x + 8) = 0 (-12 * -4 + 4x * -4) + 4(3x + 8) = 0 (48 + -16x) + 4(3x + 8) = 0 Reorder the terms: 48 + -16x + 4(8 + 3x) = 0 48 + -16x + (8 * 4 + 3x * 4) = 0 48 + -16x + (32 + 12x) = 0 Reorder the terms: 48 + 32 + -16x + 12x = 0 Combine like terms: 48 + 32 = 80 80 + -16x + 12x = 0 Combine like terms: -16x + 12x = -4x 80 + -4x = 0 Solving 80 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -4x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -4x = 0 + -80 -4x = 0 + -80 Combine like terms: 0 + -80 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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