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Simplifying 3(x + -3) + -1(x + -5) = 6 Reorder the terms: 3(-3 + x) + -1(x + -5) = 6 (-3 * 3 + x * 3) + -1(x + -5) = 6 (-9 + 3x) + -1(x + -5) = 6 Reorder the terms: -9 + 3x + -1(-5 + x) = 6 -9 + 3x + (-5 * -1 + x * -1) = 6 -9 + 3x + (5 + -1x) = 6 Reorder the terms: -9 + 5 + 3x + -1x = 6 Combine like terms: -9 + 5 = -4 -4 + 3x + -1x = 6 Combine like terms: 3x + -1x = 2x -4 + 2x = 6 Solving -4 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 6 + 4 2x = 6 + 4 Combine like terms: 6 + 4 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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