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Simplifying 7(11x + -8) + 7 = 3x + -5 Reorder the terms: 7(-8 + 11x) + 7 = 3x + -5 (-8 * 7 + 11x * 7) + 7 = 3x + -5 (-56 + 77x) + 7 = 3x + -5 Reorder the terms: -56 + 7 + 77x = 3x + -5 Combine like terms: -56 + 7 = -49 -49 + 77x = 3x + -5 Reorder the terms: -49 + 77x = -5 + 3x Solving -49 + 77x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -49 + 77x + -3x = -5 + 3x + -3x Combine like terms: 77x + -3x = 74x -49 + 74x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + 74x = -5 + 0 -49 + 74x = -5 Add '49' to each side of the equation. -49 + 49 + 74x = -5 + 49 Combine like terms: -49 + 49 = 0 0 + 74x = -5 + 49 74x = -5 + 49 Combine like terms: -5 + 49 = 44 74x = 44 Divide each side by '74'. x = 0.5945945946 Simplifying x = 0.5945945946
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