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Simplifying 5(2x + 3) + -3(x + 6) = 20 Reorder the terms: 5(3 + 2x) + -3(x + 6) = 20 (3 * 5 + 2x * 5) + -3(x + 6) = 20 (15 + 10x) + -3(x + 6) = 20 Reorder the terms: 15 + 10x + -3(6 + x) = 20 15 + 10x + (6 * -3 + x * -3) = 20 15 + 10x + (-18 + -3x) = 20 Reorder the terms: 15 + -18 + 10x + -3x = 20 Combine like terms: 15 + -18 = -3 -3 + 10x + -3x = 20 Combine like terms: 10x + -3x = 7x -3 + 7x = 20 Solving -3 + 7x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 20 + 3 7x = 20 + 3 Combine like terms: 20 + 3 = 23 7x = 23 Divide each side by '7'. x = 3.285714286 Simplifying x = 3.285714286
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