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