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Simplifying 81 + (-5 + -2x + 3) = 35(-2x + 4) + -1(7x + 6) Reorder the terms: 81 + (-5 + 3 + -2x) = 35(-2x + 4) + -1(7x + 6) Combine like terms: -5 + 3 = -2 81 + (-2 + -2x) = 35(-2x + 4) + -1(7x + 6) Remove parenthesis around (-2 + -2x) 81 + -2 + -2x = 35(-2x + 4) + -1(7x + 6) Combine like terms: 81 + -2 = 79 79 + -2x = 35(-2x + 4) + -1(7x + 6) Reorder the terms: 79 + -2x = 35(4 + -2x) + -1(7x + 6) 79 + -2x = (4 * 35 + -2x * 35) + -1(7x + 6) 79 + -2x = (140 + -70x) + -1(7x + 6) Reorder the terms: 79 + -2x = 140 + -70x + -1(6 + 7x) 79 + -2x = 140 + -70x + (6 * -1 + 7x * -1) 79 + -2x = 140 + -70x + (-6 + -7x) Reorder the terms: 79 + -2x = 140 + -6 + -70x + -7x Combine like terms: 140 + -6 = 134 79 + -2x = 134 + -70x + -7x Combine like terms: -70x + -7x = -77x 79 + -2x = 134 + -77x Solving 79 + -2x = 134 + -77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77x' to each side of the equation. 79 + -2x + 77x = 134 + -77x + 77x Combine like terms: -2x + 77x = 75x 79 + 75x = 134 + -77x + 77x Combine like terms: -77x + 77x = 0 79 + 75x = 134 + 0 79 + 75x = 134 Add '-79' to each side of the equation. 79 + -79 + 75x = 134 + -79 Combine like terms: 79 + -79 = 0 0 + 75x = 134 + -79 75x = 134 + -79 Combine like terms: 134 + -79 = 55 75x = 55 Divide each side by '75'. x = 0.7333333333 Simplifying x = 0.7333333333
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