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Simplifying 5(x + 2) + -9(x + -2) = 0 Reorder the terms: 5(2 + x) + -9(x + -2) = 0 (2 * 5 + x * 5) + -9(x + -2) = 0 (10 + 5x) + -9(x + -2) = 0 Reorder the terms: 10 + 5x + -9(-2 + x) = 0 10 + 5x + (-2 * -9 + x * -9) = 0 10 + 5x + (18 + -9x) = 0 Reorder the terms: 10 + 18 + 5x + -9x = 0 Combine like terms: 10 + 18 = 28 28 + 5x + -9x = 0 Combine like terms: 5x + -9x = -4x 28 + -4x = 0 Solving 28 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -4x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 0 + -28 -4x = 0 + -28 Combine like terms: 0 + -28 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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