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Simplifying 5(x + -4) + 2(2x + 3) = 13 Reorder the terms: 5(-4 + x) + 2(2x + 3) = 13 (-4 * 5 + x * 5) + 2(2x + 3) = 13 (-20 + 5x) + 2(2x + 3) = 13 Reorder the terms: -20 + 5x + 2(3 + 2x) = 13 -20 + 5x + (3 * 2 + 2x * 2) = 13 -20 + 5x + (6 + 4x) = 13 Reorder the terms: -20 + 6 + 5x + 4x = 13 Combine like terms: -20 + 6 = -14 -14 + 5x + 4x = 13 Combine like terms: 5x + 4x = 9x -14 + 9x = 13 Solving -14 + 9x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 13 + 14 9x = 13 + 14 Combine like terms: 13 + 14 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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