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Simplifying 20 = -1(x + 5) + -8(1 + 4x) Reorder the terms: 20 = -1(5 + x) + -8(1 + 4x) 20 = (5 * -1 + x * -1) + -8(1 + 4x) 20 = (-5 + -1x) + -8(1 + 4x) 20 = -5 + -1x + (1 * -8 + 4x * -8) 20 = -5 + -1x + (-8 + -32x) Reorder the terms: 20 = -5 + -8 + -1x + -32x Combine like terms: -5 + -8 = -13 20 = -13 + -1x + -32x Combine like terms: -1x + -32x = -33x 20 = -13 + -33x Solving 20 = -13 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 20 + 33x = -13 + -33x + 33x Combine like terms: -33x + 33x = 0 20 + 33x = -13 + 0 20 + 33x = -13 Add '-20' to each side of the equation. 20 + -20 + 33x = -13 + -20 Combine like terms: 20 + -20 = 0 0 + 33x = -13 + -20 33x = -13 + -20 Combine like terms: -13 + -20 = -33 33x = -33 Divide each side by '33'. x = -1 Simplifying x = -1
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