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Simplifying 5(x + -6) + -7(x + 2) = -20 Reorder the terms: 5(-6 + x) + -7(x + 2) = -20 (-6 * 5 + x * 5) + -7(x + 2) = -20 (-30 + 5x) + -7(x + 2) = -20 Reorder the terms: -30 + 5x + -7(2 + x) = -20 -30 + 5x + (2 * -7 + x * -7) = -20 -30 + 5x + (-14 + -7x) = -20 Reorder the terms: -30 + -14 + 5x + -7x = -20 Combine like terms: -30 + -14 = -44 -44 + 5x + -7x = -20 Combine like terms: 5x + -7x = -2x -44 + -2x = -20 Solving -44 + -2x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -2x = -20 + 44 Combine like terms: -44 + 44 = 0 0 + -2x = -20 + 44 -2x = -20 + 44 Combine like terms: -20 + 44 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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