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Simplifying 3x + -12 = -4(2x + -1) + 6 Reorder the terms: -12 + 3x = -4(2x + -1) + 6 Reorder the terms: -12 + 3x = -4(-1 + 2x) + 6 -12 + 3x = (-1 * -4 + 2x * -4) + 6 -12 + 3x = (4 + -8x) + 6 Reorder the terms: -12 + 3x = 4 + 6 + -8x Combine like terms: 4 + 6 = 10 -12 + 3x = 10 + -8x Solving -12 + 3x = 10 + -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. -12 + 3x + 8x = 10 + -8x + 8x Combine like terms: 3x + 8x = 11x -12 + 11x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 11x = 10 + 0 -12 + 11x = 10 Add '12' to each side of the equation. -12 + 12 + 11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 10 + 12 11x = 10 + 12 Combine like terms: 10 + 12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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