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Simplifying -8x + -12 = 6x + -4(3x + -1) Reorder the terms: -12 + -8x = 6x + -4(3x + -1) Reorder the terms: -12 + -8x = 6x + -4(-1 + 3x) -12 + -8x = 6x + (-1 * -4 + 3x * -4) -12 + -8x = 6x + (4 + -12x) Reorder the terms: -12 + -8x = 4 + 6x + -12x Combine like terms: 6x + -12x = -6x -12 + -8x = 4 + -6x Solving -12 + -8x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + -8x + 6x = 4 + -6x + 6x Combine like terms: -8x + 6x = -2x -12 + -2x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + -2x = 4 + 0 -12 + -2x = 4 Add '12' to each side of the equation. -12 + 12 + -2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 4 + 12 -2x = 4 + 12 Combine like terms: 4 + 12 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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