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Simplifying 5(x + 2) + -3(x + 4) = 31 Reorder the terms: 5(2 + x) + -3(x + 4) = 31 (2 * 5 + x * 5) + -3(x + 4) = 31 (10 + 5x) + -3(x + 4) = 31 Reorder the terms: 10 + 5x + -3(4 + x) = 31 10 + 5x + (4 * -3 + x * -3) = 31 10 + 5x + (-12 + -3x) = 31 Reorder the terms: 10 + -12 + 5x + -3x = 31 Combine like terms: 10 + -12 = -2 -2 + 5x + -3x = 31 Combine like terms: 5x + -3x = 2x -2 + 2x = 31 Solving -2 + 2x = 31 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 + 2x = 31 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 31 + 2 2x = 31 + 2 Combine like terms: 31 + 2 = 33 2x = 33 Divide each side by '2'. x = 16.5 Simplifying x = 16.5
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