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Simplifying 98 + -1(7x + 11) = 7(x + 6) + x Reorder the terms: 98 + -1(11 + 7x) = 7(x + 6) + x 98 + (11 * -1 + 7x * -1) = 7(x + 6) + x 98 + (-11 + -7x) = 7(x + 6) + x Combine like terms: 98 + -11 = 87 87 + -7x = 7(x + 6) + x Reorder the terms: 87 + -7x = 7(6 + x) + x 87 + -7x = (6 * 7 + x * 7) + x 87 + -7x = (42 + 7x) + x Combine like terms: 7x + x = 8x 87 + -7x = 42 + 8x Solving 87 + -7x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 87 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x 87 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 87 + -15x = 42 + 0 87 + -15x = 42 Add '-87' to each side of the equation. 87 + -87 + -15x = 42 + -87 Combine like terms: 87 + -87 = 0 0 + -15x = 42 + -87 -15x = 42 + -87 Combine like terms: 42 + -87 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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