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Simplifying (13 + -7)(x) + -1(x + 10) + 2(x + -2) = 0 Combine like terms: 13 + -7 = 6 (6)(x) + -1(x + 10) + 2(x + -2) = 0 Reorder the terms: 6x + -1(10 + x) + 2(x + -2) = 0 6x + (10 * -1 + x * -1) + 2(x + -2) = 0 6x + (-10 + -1x) + 2(x + -2) = 0 Reorder the terms: 6x + -10 + -1x + 2(-2 + x) = 0 6x + -10 + -1x + (-2 * 2 + x * 2) = 0 6x + -10 + -1x + (-4 + 2x) = 0 Reorder the terms: -10 + -4 + 6x + -1x + 2x = 0 Combine like terms: -10 + -4 = -14 -14 + 6x + -1x + 2x = 0 Combine like terms: 6x + -1x = 5x -14 + 5x + 2x = 0 Combine like terms: 5x + 2x = 7x -14 + 7x = 0 Solving -14 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 0 + 14 7x = 0 + 14 Combine like terms: 0 + 14 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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