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Simplifying 31 = 7x + 4(-4x + -17) Reorder the terms: 31 = 7x + 4(-17 + -4x) 31 = 7x + (-17 * 4 + -4x * 4) 31 = 7x + (-68 + -16x) Reorder the terms: 31 = -68 + 7x + -16x Combine like terms: 7x + -16x = -9x 31 = -68 + -9x Solving 31 = -68 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 31 + 9x = -68 + -9x + 9x Combine like terms: -9x + 9x = 0 31 + 9x = -68 + 0 31 + 9x = -68 Add '-31' to each side of the equation. 31 + -31 + 9x = -68 + -31 Combine like terms: 31 + -31 = 0 0 + 9x = -68 + -31 9x = -68 + -31 Combine like terms: -68 + -31 = -99 9x = -99 Divide each side by '9'. x = -11 Simplifying x = -11
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