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Simplifying 4(x + 1) + -7(x + -5) = 13 Reorder the terms: 4(1 + x) + -7(x + -5) = 13 (1 * 4 + x * 4) + -7(x + -5) = 13 (4 + 4x) + -7(x + -5) = 13 Reorder the terms: 4 + 4x + -7(-5 + x) = 13 4 + 4x + (-5 * -7 + x * -7) = 13 4 + 4x + (35 + -7x) = 13 Reorder the terms: 4 + 35 + 4x + -7x = 13 Combine like terms: 4 + 35 = 39 39 + 4x + -7x = 13 Combine like terms: 4x + -7x = -3x 39 + -3x = 13 Solving 39 + -3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -3x = 13 + -39 Combine like terms: 39 + -39 = 0 0 + -3x = 13 + -39 -3x = 13 + -39 Combine like terms: 13 + -39 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667
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