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Simplifying 8(6 + 5x) + -4(1 + 2x) = -20 (6 * 8 + 5x * 8) + -4(1 + 2x) = -20 (48 + 40x) + -4(1 + 2x) = -20 48 + 40x + (1 * -4 + 2x * -4) = -20 48 + 40x + (-4 + -8x) = -20 Reorder the terms: 48 + -4 + 40x + -8x = -20 Combine like terms: 48 + -4 = 44 44 + 40x + -8x = -20 Combine like terms: 40x + -8x = 32x 44 + 32x = -20 Solving 44 + 32x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 32x = -20 + -44 Combine like terms: 44 + -44 = 0 0 + 32x = -20 + -44 32x = -20 + -44 Combine like terms: -20 + -44 = -64 32x = -64 Divide each side by '32'. x = -2 Simplifying x = -2
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