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Simplifying -3(x + 2) + 2(3x + -3) = 5 Reorder the terms: -3(2 + x) + 2(3x + -3) = 5 (2 * -3 + x * -3) + 2(3x + -3) = 5 (-6 + -3x) + 2(3x + -3) = 5 Reorder the terms: -6 + -3x + 2(-3 + 3x) = 5 -6 + -3x + (-3 * 2 + 3x * 2) = 5 -6 + -3x + (-6 + 6x) = 5 Reorder the terms: -6 + -6 + -3x + 6x = 5 Combine like terms: -6 + -6 = -12 -12 + -3x + 6x = 5 Combine like terms: -3x + 6x = 3x -12 + 3x = 5 Solving -12 + 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 5 + 12 3x = 5 + 12 Combine like terms: 5 + 12 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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