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Simplifying 11(x + 3) + -1(x + 5) = 68 Reorder the terms: 11(3 + x) + -1(x + 5) = 68 (3 * 11 + x * 11) + -1(x + 5) = 68 (33 + 11x) + -1(x + 5) = 68 Reorder the terms: 33 + 11x + -1(5 + x) = 68 33 + 11x + (5 * -1 + x * -1) = 68 33 + 11x + (-5 + -1x) = 68 Reorder the terms: 33 + -5 + 11x + -1x = 68 Combine like terms: 33 + -5 = 28 28 + 11x + -1x = 68 Combine like terms: 11x + -1x = 10x 28 + 10x = 68 Solving 28 + 10x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 10x = 68 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = 68 + -28 10x = 68 + -28 Combine like terms: 68 + -28 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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