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Simplifying 4(6 + -1x) + 7(2x + 1) = 0 (6 * 4 + -1x * 4) + 7(2x + 1) = 0 (24 + -4x) + 7(2x + 1) = 0 Reorder the terms: 24 + -4x + 7(1 + 2x) = 0 24 + -4x + (1 * 7 + 2x * 7) = 0 24 + -4x + (7 + 14x) = 0 Reorder the terms: 24 + 7 + -4x + 14x = 0 Combine like terms: 24 + 7 = 31 31 + -4x + 14x = 0 Combine like terms: -4x + 14x = 10x 31 + 10x = 0 Solving 31 + 10x = 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 + 10x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 10x = 0 + -31 10x = 0 + -31 Combine like terms: 0 + -31 = -31 10x = -31 Divide each side by '10'. x = -3.1 Simplifying x = -3.1
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