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Simplifying 11 + -1(7x + -8) = 31 + -3x Reorder the terms: 11 + -1(-8 + 7x) = 31 + -3x 11 + (-8 * -1 + 7x * -1) = 31 + -3x 11 + (8 + -7x) = 31 + -3x Combine like terms: 11 + 8 = 19 19 + -7x = 31 + -3x Solving 19 + -7x = 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. 19 + -7x + 3x = 31 + -3x + 3x Combine like terms: -7x + 3x = -4x 19 + -4x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + -4x = 31 + 0 19 + -4x = 31 Add '-19' to each side of the equation. 19 + -19 + -4x = 31 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 31 + -19 -4x = 31 + -19 Combine like terms: 31 + -19 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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