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Simplifying 11(x + 3) = 5(x + 1) Reorder the terms: 11(3 + x) = 5(x + 1) (3 * 11 + x * 11) = 5(x + 1) (33 + 11x) = 5(x + 1) Reorder the terms: 33 + 11x = 5(1 + x) 33 + 11x = (1 * 5 + x * 5) 33 + 11x = (5 + 5x) Solving 33 + 11x = 5 + 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. 33 + 11x + -5x = 5 + 5x + -5x Combine like terms: 11x + -5x = 6x 33 + 6x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + 6x = 5 + 0 33 + 6x = 5 Add '-33' to each side of the equation. 33 + -33 + 6x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + 6x = 5 + -33 6x = 5 + -33 Combine like terms: 5 + -33 = -28 6x = -28 Divide each side by '6'. x = -4.666666667 Simplifying x = -4.666666667
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