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Simplifying 8(4x + 3) = 12x + -16 Reorder the terms: 8(3 + 4x) = 12x + -16 (3 * 8 + 4x * 8) = 12x + -16 (24 + 32x) = 12x + -16 Reorder the terms: 24 + 32x = -16 + 12x Solving 24 + 32x = -16 + 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. 24 + 32x + -12x = -16 + 12x + -12x Combine like terms: 32x + -12x = 20x 24 + 20x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 20x = -16 + 0 24 + 20x = -16 Add '-24' to each side of the equation. 24 + -24 + 20x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = -16 + -24 20x = -16 + -24 Combine like terms: -16 + -24 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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