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Simplifying 5(x + 2) + -3(x + 6) = 40 Reorder the terms: 5(2 + x) + -3(x + 6) = 40 (2 * 5 + x * 5) + -3(x + 6) = 40 (10 + 5x) + -3(x + 6) = 40 Reorder the terms: 10 + 5x + -3(6 + x) = 40 10 + 5x + (6 * -3 + x * -3) = 40 10 + 5x + (-18 + -3x) = 40 Reorder the terms: 10 + -18 + 5x + -3x = 40 Combine like terms: 10 + -18 = -8 -8 + 5x + -3x = 40 Combine like terms: 5x + -3x = 2x -8 + 2x = 40 Solving -8 + 2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 40 + 8 2x = 40 + 8 Combine like terms: 40 + 8 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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