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Simplifying -10x + -12 = -2 + -4(3x + 8) Reorder the terms: -12 + -10x = -2 + -4(3x + 8) Reorder the terms: -12 + -10x = -2 + -4(8 + 3x) -12 + -10x = -2 + (8 * -4 + 3x * -4) -12 + -10x = -2 + (-32 + -12x) Combine like terms: -2 + -32 = -34 -12 + -10x = -34 + -12x Solving -12 + -10x = -34 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + -10x + 12x = -34 + -12x + 12x Combine like terms: -10x + 12x = 2x -12 + 2x = -34 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 2x = -34 + 0 -12 + 2x = -34 Add '12' to each side of the equation. -12 + 12 + 2x = -34 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -34 + 12 2x = -34 + 12 Combine like terms: -34 + 12 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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