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Simplifying -8(x + -4) + -1(1 + 3x) = 20 Reorder the terms: -8(-4 + x) + -1(1 + 3x) = 20 (-4 * -8 + x * -8) + -1(1 + 3x) = 20 (32 + -8x) + -1(1 + 3x) = 20 32 + -8x + (1 * -1 + 3x * -1) = 20 32 + -8x + (-1 + -3x) = 20 Reorder the terms: 32 + -1 + -8x + -3x = 20 Combine like terms: 32 + -1 = 31 31 + -8x + -3x = 20 Combine like terms: -8x + -3x = -11x 31 + -11x = 20 Solving 31 + -11x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -11x = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -11x = 20 + -31 -11x = 20 + -31 Combine like terms: 20 + -31 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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