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Simplifying 4(x + -6) + -6(x + 2) = 14 Reorder the terms: 4(-6 + x) + -6(x + 2) = 14 (-6 * 4 + x * 4) + -6(x + 2) = 14 (-24 + 4x) + -6(x + 2) = 14 Reorder the terms: -24 + 4x + -6(2 + x) = 14 -24 + 4x + (2 * -6 + x * -6) = 14 -24 + 4x + (-12 + -6x) = 14 Reorder the terms: -24 + -12 + 4x + -6x = 14 Combine like terms: -24 + -12 = -36 -36 + 4x + -6x = 14 Combine like terms: 4x + -6x = -2x -36 + -2x = 14 Solving -36 + -2x = 14 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 = 14 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = 14 + 36 -2x = 14 + 36 Combine like terms: 14 + 36 = 50 -2x = 50 Divide each side by '-2'. x = -25 Simplifying x = -25
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