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Simplifying 3(x + -5) + 2(x + 1) = 2 Reorder the terms: 3(-5 + x) + 2(x + 1) = 2 (-5 * 3 + x * 3) + 2(x + 1) = 2 (-15 + 3x) + 2(x + 1) = 2 Reorder the terms: -15 + 3x + 2(1 + x) = 2 -15 + 3x + (1 * 2 + x * 2) = 2 -15 + 3x + (2 + 2x) = 2 Reorder the terms: -15 + 2 + 3x + 2x = 2 Combine like terms: -15 + 2 = -13 -13 + 3x + 2x = 2 Combine like terms: 3x + 2x = 5x -13 + 5x = 2 Solving -13 + 5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 2 + 13 5x = 2 + 13 Combine like terms: 2 + 13 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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