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Simplifying 3x + -1(8x + 2) = 5x + -12 Reorder the terms: 3x + -1(2 + 8x) = 5x + -12 3x + (2 * -1 + 8x * -1) = 5x + -12 3x + (-2 + -8x) = 5x + -12 Reorder the terms: -2 + 3x + -8x = 5x + -12 Combine like terms: 3x + -8x = -5x -2 + -5x = 5x + -12 Reorder the terms: -2 + -5x = -12 + 5x Solving -2 + -5x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + -5x + -5x = -12 + 5x + -5x Combine like terms: -5x + -5x = -10x -2 + -10x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -10x = -12 + 0 -2 + -10x = -12 Add '2' to each side of the equation. -2 + 2 + -10x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -12 + 2 -10x = -12 + 2 Combine like terms: -12 + 2 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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