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Simplifying 8 + 4(2x + 6) = -12 + -6(2x + -4) Reorder the terms: 8 + 4(6 + 2x) = -12 + -6(2x + -4) 8 + (6 * 4 + 2x * 4) = -12 + -6(2x + -4) 8 + (24 + 8x) = -12 + -6(2x + -4) Combine like terms: 8 + 24 = 32 32 + 8x = -12 + -6(2x + -4) Reorder the terms: 32 + 8x = -12 + -6(-4 + 2x) 32 + 8x = -12 + (-4 * -6 + 2x * -6) 32 + 8x = -12 + (24 + -12x) Combine like terms: -12 + 24 = 12 32 + 8x = 12 + -12x Solving 32 + 8x = 12 + -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 + 8x + 12x = 12 + -12x + 12x Combine like terms: 8x + 12x = 20x 32 + 20x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 32 + 20x = 12 + 0 32 + 20x = 12 Add '-32' to each side of the equation. 32 + -32 + 20x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 20x = 12 + -32 20x = 12 + -32 Combine like terms: 12 + -32 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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