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Simplifying (7x + -11) + (6x + -3) = (5x + 5) Reorder the terms: (-11 + 7x) + (6x + -3) = (5x + 5) Remove parenthesis around (-11 + 7x) -11 + 7x + (6x + -3) = (5x + 5) Reorder the terms: -11 + 7x + (-3 + 6x) = (5x + 5) Remove parenthesis around (-3 + 6x) -11 + 7x + -3 + 6x = (5x + 5) Reorder the terms: -11 + -3 + 7x + 6x = (5x + 5) Combine like terms: -11 + -3 = -14 -14 + 7x + 6x = (5x + 5) Combine like terms: 7x + 6x = 13x -14 + 13x = (5x + 5) Reorder the terms: -14 + 13x = (5 + 5x) Remove parenthesis around (5 + 5x) -14 + 13x = 5 + 5x Solving -14 + 13x = 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. -14 + 13x + -5x = 5 + 5x + -5x Combine like terms: 13x + -5x = 8x -14 + 8x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 8x = 5 + 0 -14 + 8x = 5 Add '14' to each side of the equation. -14 + 14 + 8x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 5 + 14 8x = 5 + 14 Combine like terms: 5 + 14 = 19 8x = 19 Divide each side by '8'. x = 2.375 Simplifying x = 2.375
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