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Simplifying 5(x + 4) + -7(x + 2) = 0 Reorder the terms: 5(4 + x) + -7(x + 2) = 0 (4 * 5 + x * 5) + -7(x + 2) = 0 (20 + 5x) + -7(x + 2) = 0 Reorder the terms: 20 + 5x + -7(2 + x) = 0 20 + 5x + (2 * -7 + x * -7) = 0 20 + 5x + (-14 + -7x) = 0 Reorder the terms: 20 + -14 + 5x + -7x = 0 Combine like terms: 20 + -14 = 6 6 + 5x + -7x = 0 Combine like terms: 5x + -7x = -2x 6 + -2x = 0 Solving 6 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 0 + -6 -2x = 0 + -6 Combine like terms: 0 + -6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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