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Simplifying (x + -15) + (2x + 1) + (3x + 2) = 0 Reorder the terms: (-15 + x) + (2x + 1) + (3x + 2) = 0 Remove parenthesis around (-15 + x) -15 + x + (2x + 1) + (3x + 2) = 0 Reorder the terms: -15 + x + (1 + 2x) + (3x + 2) = 0 Remove parenthesis around (1 + 2x) -15 + x + 1 + 2x + (3x + 2) = 0 Reorder the terms: -15 + x + 1 + 2x + (2 + 3x) = 0 Remove parenthesis around (2 + 3x) -15 + x + 1 + 2x + 2 + 3x = 0 Reorder the terms: -15 + 1 + 2 + x + 2x + 3x = 0 Combine like terms: -15 + 1 = -14 -14 + 2 + x + 2x + 3x = 0 Combine like terms: -14 + 2 = -12 -12 + x + 2x + 3x = 0 Combine like terms: x + 2x = 3x -12 + 3x + 3x = 0 Combine like terms: 3x + 3x = 6x -12 + 6x = 0 Solving -12 + 6x = 0 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 + 6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 0 + 12 6x = 0 + 12 Combine like terms: 0 + 12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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