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Simplifying 13(x + 1) = 5(x + 9) Reorder the terms: 13(1 + x) = 5(x + 9) (1 * 13 + x * 13) = 5(x + 9) (13 + 13x) = 5(x + 9) Reorder the terms: 13 + 13x = 5(9 + x) 13 + 13x = (9 * 5 + x * 5) 13 + 13x = (45 + 5x) Solving 13 + 13x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 13x + -5x = 45 + 5x + -5x Combine like terms: 13x + -5x = 8x 13 + 8x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + 8x = 45 + 0 13 + 8x = 45 Add '-13' to each side of the equation. 13 + -13 + 8x = 45 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 45 + -13 8x = 45 + -13 Combine like terms: 45 + -13 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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