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Simplifying 7(x + 3) + 5 = -6(x + -1) Reorder the terms: 7(3 + x) + 5 = -6(x + -1) (3 * 7 + x * 7) + 5 = -6(x + -1) (21 + 7x) + 5 = -6(x + -1) Reorder the terms: 21 + 5 + 7x = -6(x + -1) Combine like terms: 21 + 5 = 26 26 + 7x = -6(x + -1) Reorder the terms: 26 + 7x = -6(-1 + x) 26 + 7x = (-1 * -6 + x * -6) 26 + 7x = (6 + -6x) Solving 26 + 7x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 26 + 7x + 6x = 6 + -6x + 6x Combine like terms: 7x + 6x = 13x 26 + 13x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 26 + 13x = 6 + 0 26 + 13x = 6 Add '-26' to each side of the equation. 26 + -26 + 13x = 6 + -26 Combine like terms: 26 + -26 = 0 0 + 13x = 6 + -26 13x = 6 + -26 Combine like terms: 6 + -26 = -20 13x = -20 Divide each side by '13'. x = -1.538461538 Simplifying x = -1.538461538
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