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Simplifying 6(x + -6) + -8(x + -2) = -12 Reorder the terms: 6(-6 + x) + -8(x + -2) = -12 (-6 * 6 + x * 6) + -8(x + -2) = -12 (-36 + 6x) + -8(x + -2) = -12 Reorder the terms: -36 + 6x + -8(-2 + x) = -12 -36 + 6x + (-2 * -8 + x * -8) = -12 -36 + 6x + (16 + -8x) = -12 Reorder the terms: -36 + 16 + 6x + -8x = -12 Combine like terms: -36 + 16 = -20 -20 + 6x + -8x = -12 Combine like terms: 6x + -8x = -2x -20 + -2x = -12 Solving -20 + -2x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -12 + 20 -2x = -12 + 20 Combine like terms: -12 + 20 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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