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Simplifying 3(x + -3) + 2x = 5(2 + -1x) + 11 Reorder the terms: 3(-3 + x) + 2x = 5(2 + -1x) + 11 (-3 * 3 + x * 3) + 2x = 5(2 + -1x) + 11 (-9 + 3x) + 2x = 5(2 + -1x) + 11 Combine like terms: 3x + 2x = 5x -9 + 5x = 5(2 + -1x) + 11 -9 + 5x = (2 * 5 + -1x * 5) + 11 -9 + 5x = (10 + -5x) + 11 Reorder the terms: -9 + 5x = 10 + 11 + -5x Combine like terms: 10 + 11 = 21 -9 + 5x = 21 + -5x Solving -9 + 5x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + 5x + 5x = 21 + -5x + 5x Combine like terms: 5x + 5x = 10x -9 + 10x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 10x = 21 + 0 -9 + 10x = 21 Add '9' to each side of the equation. -9 + 9 + 10x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 21 + 9 10x = 21 + 9 Combine like terms: 21 + 9 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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