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Simplifying 49 = (7x + 22) + -1(5x + -11) Reorder the terms: 49 = (22 + 7x) + -1(5x + -11) Remove parenthesis around (22 + 7x) 49 = 22 + 7x + -1(5x + -11) Reorder the terms: 49 = 22 + 7x + -1(-11 + 5x) 49 = 22 + 7x + (-11 * -1 + 5x * -1) 49 = 22 + 7x + (11 + -5x) Reorder the terms: 49 = 22 + 11 + 7x + -5x Combine like terms: 22 + 11 = 33 49 = 33 + 7x + -5x Combine like terms: 7x + -5x = 2x 49 = 33 + 2x Solving 49 = 33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49 + -2x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -2x = 33 + 0 49 + -2x = 33 Add '-49' to each side of the equation. 49 + -49 + -2x = 33 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 33 + -49 -2x = 33 + -49 Combine like terms: 33 + -49 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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