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Simplifying (3x + -2) + (2x + 4) + (3x + -3) = 89 Reorder the terms: (-2 + 3x) + (2x + 4) + (3x + -3) = 89 Remove parenthesis around (-2 + 3x) -2 + 3x + (2x + 4) + (3x + -3) = 89 Reorder the terms: -2 + 3x + (4 + 2x) + (3x + -3) = 89 Remove parenthesis around (4 + 2x) -2 + 3x + 4 + 2x + (3x + -3) = 89 Reorder the terms: -2 + 3x + 4 + 2x + (-3 + 3x) = 89 Remove parenthesis around (-3 + 3x) -2 + 3x + 4 + 2x + -3 + 3x = 89 Reorder the terms: -2 + 4 + -3 + 3x + 2x + 3x = 89 Combine like terms: -2 + 4 = 2 2 + -3 + 3x + 2x + 3x = 89 Combine like terms: 2 + -3 = -1 -1 + 3x + 2x + 3x = 89 Combine like terms: 3x + 2x = 5x -1 + 5x + 3x = 89 Combine like terms: 5x + 3x = 8x -1 + 8x = 89 Solving -1 + 8x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 89 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 89 + 1 8x = 89 + 1 Combine like terms: 89 + 1 = 90 8x = 90 Divide each side by '8'. x = 11.25 Simplifying x = 11.25
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