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Simplifying 8(x + 3) + -5(x + 2) = -20 Reorder the terms: 8(3 + x) + -5(x + 2) = -20 (3 * 8 + x * 8) + -5(x + 2) = -20 (24 + 8x) + -5(x + 2) = -20 Reorder the terms: 24 + 8x + -5(2 + x) = -20 24 + 8x + (2 * -5 + x * -5) = -20 24 + 8x + (-10 + -5x) = -20 Reorder the terms: 24 + -10 + 8x + -5x = -20 Combine like terms: 24 + -10 = 14 14 + 8x + -5x = -20 Combine like terms: 8x + -5x = 3x 14 + 3x = -20 Solving 14 + 3x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = -20 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -20 + -14 3x = -20 + -14 Combine like terms: -20 + -14 = -34 3x = -34 Divide each side by '3'. x = -11.33333333 Simplifying x = -11.33333333
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