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Simplifying 4(x + 7) + -1(x + 5) = 0 Reorder the terms: 4(7 + x) + -1(x + 5) = 0 (7 * 4 + x * 4) + -1(x + 5) = 0 (28 + 4x) + -1(x + 5) = 0 Reorder the terms: 28 + 4x + -1(5 + x) = 0 28 + 4x + (5 * -1 + x * -1) = 0 28 + 4x + (-5 + -1x) = 0 Reorder the terms: 28 + -5 + 4x + -1x = 0 Combine like terms: 28 + -5 = 23 23 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x 23 + 3x = 0 Solving 23 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 0 + -23 3x = 0 + -23 Combine like terms: 0 + -23 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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