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Simplifying 5(x + -9) + 2(2x + 3) = 6 Reorder the terms: 5(-9 + x) + 2(2x + 3) = 6 (-9 * 5 + x * 5) + 2(2x + 3) = 6 (-45 + 5x) + 2(2x + 3) = 6 Reorder the terms: -45 + 5x + 2(3 + 2x) = 6 -45 + 5x + (3 * 2 + 2x * 2) = 6 -45 + 5x + (6 + 4x) = 6 Reorder the terms: -45 + 6 + 5x + 4x = 6 Combine like terms: -45 + 6 = -39 -39 + 5x + 4x = 6 Combine like terms: 5x + 4x = 9x -39 + 9x = 6 Solving -39 + 9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 9x = 6 + 39 Combine like terms: -39 + 39 = 0 0 + 9x = 6 + 39 9x = 6 + 39 Combine like terms: 6 + 39 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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