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Simplifying 5(x + -2) + 4(3 + x) = 20 Reorder the terms: 5(-2 + x) + 4(3 + x) = 20 (-2 * 5 + x * 5) + 4(3 + x) = 20 (-10 + 5x) + 4(3 + x) = 20 -10 + 5x + (3 * 4 + x * 4) = 20 -10 + 5x + (12 + 4x) = 20 Reorder the terms: -10 + 12 + 5x + 4x = 20 Combine like terms: -10 + 12 = 2 2 + 5x + 4x = 20 Combine like terms: 5x + 4x = 9x 2 + 9x = 20 Solving 2 + 9x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 20 + -2 9x = 20 + -2 Combine like terms: 20 + -2 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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