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Simplifying 4(x + -6) + -6(x + 2) = (-6) Reorder the terms: 4(-6 + x) + -6(x + 2) = (-6) (-6 * 4 + x * 4) + -6(x + 2) = (-6) (-24 + 4x) + -6(x + 2) = (-6) Reorder the terms: -24 + 4x + -6(2 + x) = (-6) -24 + 4x + (2 * -6 + x * -6) = (-6) -24 + 4x + (-12 + -6x) = (-6) Reorder the terms: -24 + -12 + 4x + -6x = (-6) Combine like terms: -24 + -12 = -36 -36 + 4x + -6x = (-6) Combine like terms: 4x + -6x = -2x -36 + -2x = (-6) -36 + -2x = -6 Solving -36 + -2x = -6 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 = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -6 + 36 -2x = -6 + 36 Combine like terms: -6 + 36 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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