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Simplifying 2(x + 3) + -5(x + 2) = 20 Reorder the terms: 2(3 + x) + -5(x + 2) = 20 (3 * 2 + x * 2) + -5(x + 2) = 20 (6 + 2x) + -5(x + 2) = 20 Reorder the terms: 6 + 2x + -5(2 + x) = 20 6 + 2x + (2 * -5 + x * -5) = 20 6 + 2x + (-10 + -5x) = 20 Reorder the terms: 6 + -10 + 2x + -5x = 20 Combine like terms: 6 + -10 = -4 -4 + 2x + -5x = 20 Combine like terms: 2x + -5x = -3x -4 + -3x = 20 Solving -4 + -3x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 20 + 4 -3x = 20 + 4 Combine like terms: 20 + 4 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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