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Simplifying 4(x + -6) + -6(x + 2) = -12 Reorder the terms: 4(-6 + x) + -6(x + 2) = -12 (-6 * 4 + x * 4) + -6(x + 2) = -12 (-24 + 4x) + -6(x + 2) = -12 Reorder the terms: -24 + 4x + -6(2 + x) = -12 -24 + 4x + (2 * -6 + x * -6) = -12 -24 + 4x + (-12 + -6x) = -12 Reorder the terms: -24 + -12 + 4x + -6x = -12 Combine like terms: -24 + -12 = -36 -36 + 4x + -6x = -12 Combine like terms: 4x + -6x = -2x -36 + -2x = -12 Solving -36 + -2x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -2x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -12 + 36 -2x = -12 + 36 Combine like terms: -12 + 36 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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