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Simplifying 3(x + -2) + 2(x + 1) = 14 Reorder the terms: 3(-2 + x) + 2(x + 1) = 14 (-2 * 3 + x * 3) + 2(x + 1) = 14 (-6 + 3x) + 2(x + 1) = 14 Reorder the terms: -6 + 3x + 2(1 + x) = 14 -6 + 3x + (1 * 2 + x * 2) = 14 -6 + 3x + (2 + 2x) = 14 Reorder the terms: -6 + 2 + 3x + 2x = 14 Combine like terms: -6 + 2 = -4 -4 + 3x + 2x = 14 Combine like terms: 3x + 2x = 5x -4 + 5x = 14 Solving -4 + 5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 14 + 4 5x = 14 + 4 Combine like terms: 14 + 4 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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