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Simplifying 3 + -1(5x + 6) = 12 + -8x Reorder the terms: 3 + -1(6 + 5x) = 12 + -8x 3 + (6 * -1 + 5x * -1) = 12 + -8x 3 + (-6 + -5x) = 12 + -8x Combine like terms: 3 + -6 = -3 -3 + -5x = 12 + -8x Solving -3 + -5x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + -5x + 8x = 12 + -8x + 8x Combine like terms: -5x + 8x = 3x -3 + 3x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 3x = 12 + 0 -3 + 3x = 12 Add '3' to each side of the equation. -3 + 3 + 3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 12 + 3 3x = 12 + 3 Combine like terms: 12 + 3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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