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Simplifying 5(x + 2) + -7(x + 2) = 0 Reorder the terms: 5(2 + x) + -7(x + 2) = 0 (2 * 5 + x * 5) + -7(x + 2) = 0 (10 + 5x) + -7(x + 2) = 0 Reorder the terms: 10 + 5x + -7(2 + x) = 0 10 + 5x + (2 * -7 + x * -7) = 0 10 + 5x + (-14 + -7x) = 0 Reorder the terms: 10 + -14 + 5x + -7x = 0 Combine like terms: 10 + -14 = -4 -4 + 5x + -7x = 0 Combine like terms: 5x + -7x = -2x -4 + -2x = 0 Solving -4 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 0 + 4 -2x = 0 + 4 Combine like terms: 0 + 4 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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