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Simplifying 4 + -5(x + 2) + 7(x + -2) = 0 Reorder the terms: 4 + -5(2 + x) + 7(x + -2) = 0 4 + (2 * -5 + x * -5) + 7(x + -2) = 0 4 + (-10 + -5x) + 7(x + -2) = 0 Reorder the terms: 4 + -10 + -5x + 7(-2 + x) = 0 4 + -10 + -5x + (-2 * 7 + x * 7) = 0 4 + -10 + -5x + (-14 + 7x) = 0 Reorder the terms: 4 + -10 + -14 + -5x + 7x = 0 Combine like terms: 4 + -10 = -6 -6 + -14 + -5x + 7x = 0 Combine like terms: -6 + -14 = -20 -20 + -5x + 7x = 0 Combine like terms: -5x + 7x = 2x -20 + 2x = 0 Solving -20 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 2x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 0 + 20 2x = 0 + 20 Combine like terms: 0 + 20 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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