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Simplifying (11x + 7) + -1(7x + 6) + (6x + 1) = 56 Reorder the terms: (7 + 11x) + -1(7x + 6) + (6x + 1) = 56 Remove parenthesis around (7 + 11x) 7 + 11x + -1(7x + 6) + (6x + 1) = 56 Reorder the terms: 7 + 11x + -1(6 + 7x) + (6x + 1) = 56 7 + 11x + (6 * -1 + 7x * -1) + (6x + 1) = 56 7 + 11x + (-6 + -7x) + (6x + 1) = 56 Reorder the terms: 7 + 11x + -6 + -7x + (1 + 6x) = 56 Remove parenthesis around (1 + 6x) 7 + 11x + -6 + -7x + 1 + 6x = 56 Reorder the terms: 7 + -6 + 1 + 11x + -7x + 6x = 56 Combine like terms: 7 + -6 = 1 1 + 1 + 11x + -7x + 6x = 56 Combine like terms: 1 + 1 = 2 2 + 11x + -7x + 6x = 56 Combine like terms: 11x + -7x = 4x 2 + 4x + 6x = 56 Combine like terms: 4x + 6x = 10x 2 + 10x = 56 Solving 2 + 10x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 56 + -2 10x = 56 + -2 Combine like terms: 56 + -2 = 54 10x = 54 Divide each side by '10'. x = 5.4 Simplifying x = 5.4
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