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Simplifying 4(x + 2) + -1(x + 5) = 26 Reorder the terms: 4(2 + x) + -1(x + 5) = 26 (2 * 4 + x * 4) + -1(x + 5) = 26 (8 + 4x) + -1(x + 5) = 26 Reorder the terms: 8 + 4x + -1(5 + x) = 26 8 + 4x + (5 * -1 + x * -1) = 26 8 + 4x + (-5 + -1x) = 26 Reorder the terms: 8 + -5 + 4x + -1x = 26 Combine like terms: 8 + -5 = 3 3 + 4x + -1x = 26 Combine like terms: 4x + -1x = 3x 3 + 3x = 26 Solving 3 + 3x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 26 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 26 + -3 3x = 26 + -3 Combine like terms: 26 + -3 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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