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Simplifying 8x + -1(6x + 3) = 5x + -12 Reorder the terms: 8x + -1(3 + 6x) = 5x + -12 8x + (3 * -1 + 6x * -1) = 5x + -12 8x + (-3 + -6x) = 5x + -12 Reorder the terms: -3 + 8x + -6x = 5x + -12 Combine like terms: 8x + -6x = 2x -3 + 2x = 5x + -12 Reorder the terms: -3 + 2x = -12 + 5x Solving -3 + 2x = -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. -3 + 2x + -5x = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x -3 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 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 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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