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Simplifying 11x + -1(7x + -8) = 31 + -3x Reorder the terms: 11x + -1(-8 + 7x) = 31 + -3x 11x + (-8 * -1 + 7x * -1) = 31 + -3x 11x + (8 + -7x) = 31 + -3x Reorder the terms: 8 + 11x + -7x = 31 + -3x Combine like terms: 11x + -7x = 4x 8 + 4x = 31 + -3x Solving 8 + 4x = 31 + -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. 8 + 4x + 3x = 31 + -3x + 3x Combine like terms: 4x + 3x = 7x 8 + 7x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 7x = 31 + 0 8 + 7x = 31 Add '-8' to each side of the equation. 8 + -8 + 7x = 31 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 31 + -8 7x = 31 + -8 Combine like terms: 31 + -8 = 23 7x = 23 Divide each side by '7'. x = 3.285714286 Simplifying x = 3.285714286
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