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Simplifying 7(x + 4) + -1(2x + -3) = 0 Reorder the terms: 7(4 + x) + -1(2x + -3) = 0 (4 * 7 + x * 7) + -1(2x + -3) = 0 (28 + 7x) + -1(2x + -3) = 0 Reorder the terms: 28 + 7x + -1(-3 + 2x) = 0 28 + 7x + (-3 * -1 + 2x * -1) = 0 28 + 7x + (3 + -2x) = 0 Reorder the terms: 28 + 3 + 7x + -2x = 0 Combine like terms: 28 + 3 = 31 31 + 7x + -2x = 0 Combine like terms: 7x + -2x = 5x 31 + 5x = 0 Solving 31 + 5x = 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 + 5x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 0 + -31 5x = 0 + -31 Combine like terms: 0 + -31 = -31 5x = -31 Divide each side by '5'. x = -6.2 Simplifying x = -6.2
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