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Simplifying 98 + -1(7x + 11) = 7(7x + 6) + x Reorder the terms: 98 + -1(11 + 7x) = 7(7x + 6) + x 98 + (11 * -1 + 7x * -1) = 7(7x + 6) + x 98 + (-11 + -7x) = 7(7x + 6) + x Combine like terms: 98 + -11 = 87 87 + -7x = 7(7x + 6) + x Reorder the terms: 87 + -7x = 7(6 + 7x) + x 87 + -7x = (6 * 7 + 7x * 7) + x 87 + -7x = (42 + 49x) + x Combine like terms: 49x + x = 50x 87 + -7x = 42 + 50x Solving 87 + -7x = 42 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 87 + -7x + -50x = 42 + 50x + -50x Combine like terms: -7x + -50x = -57x 87 + -57x = 42 + 50x + -50x Combine like terms: 50x + -50x = 0 87 + -57x = 42 + 0 87 + -57x = 42 Add '-87' to each side of the equation. 87 + -87 + -57x = 42 + -87 Combine like terms: 87 + -87 = 0 0 + -57x = 42 + -87 -57x = 42 + -87 Combine like terms: 42 + -87 = -45 -57x = -45 Divide each side by '-57'. x = 0.7894736842 Simplifying x = 0.7894736842
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