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Simplifying 4(x + 6) + -2(5 + -7x) = 0 Reorder the terms: 4(6 + x) + -2(5 + -7x) = 0 (6 * 4 + x * 4) + -2(5 + -7x) = 0 (24 + 4x) + -2(5 + -7x) = 0 24 + 4x + (5 * -2 + -7x * -2) = 0 24 + 4x + (-10 + 14x) = 0 Reorder the terms: 24 + -10 + 4x + 14x = 0 Combine like terms: 24 + -10 = 14 14 + 4x + 14x = 0 Combine like terms: 4x + 14x = 18x 14 + 18x = 0 Solving 14 + 18x = 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 + 18x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = 0 + -14 18x = 0 + -14 Combine like terms: 0 + -14 = -14 18x = -14 Divide each side by '18'. x = -0.7777777778 Simplifying x = -0.7777777778
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