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Simplifying 6(x + 4) + -1(2x + -7) = 0 Reorder the terms: 6(4 + x) + -1(2x + -7) = 0 (4 * 6 + x * 6) + -1(2x + -7) = 0 (24 + 6x) + -1(2x + -7) = 0 Reorder the terms: 24 + 6x + -1(-7 + 2x) = 0 24 + 6x + (-7 * -1 + 2x * -1) = 0 24 + 6x + (7 + -2x) = 0 Reorder the terms: 24 + 7 + 6x + -2x = 0 Combine like terms: 24 + 7 = 31 31 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 31 + 4x = 0 Solving 31 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 4x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 0 + -31 4x = 0 + -31 Combine like terms: 0 + -31 = -31 4x = -31 Divide each side by '4'. x = -7.75 Simplifying x = -7.75
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