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Simplifying 13(x + 8) + -6(x + 9) = 6(x + 4) Reorder the terms: 13(8 + x) + -6(x + 9) = 6(x + 4) (8 * 13 + x * 13) + -6(x + 9) = 6(x + 4) (104 + 13x) + -6(x + 9) = 6(x + 4) Reorder the terms: 104 + 13x + -6(9 + x) = 6(x + 4) 104 + 13x + (9 * -6 + x * -6) = 6(x + 4) 104 + 13x + (-54 + -6x) = 6(x + 4) Reorder the terms: 104 + -54 + 13x + -6x = 6(x + 4) Combine like terms: 104 + -54 = 50 50 + 13x + -6x = 6(x + 4) Combine like terms: 13x + -6x = 7x 50 + 7x = 6(x + 4) Reorder the terms: 50 + 7x = 6(4 + x) 50 + 7x = (4 * 6 + x * 6) 50 + 7x = (24 + 6x) Solving 50 + 7x = 24 + 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. 50 + 7x + -6x = 24 + 6x + -6x Combine like terms: 7x + -6x = 1x 50 + 1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 50 + 1x = 24 + 0 50 + 1x = 24 Add '-50' to each side of the equation. 50 + -50 + 1x = 24 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = 24 + -50 1x = 24 + -50 Combine like terms: 24 + -50 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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