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Simplifying -2(x + 3) + 5(x + -2) = 2 Reorder the terms: -2(3 + x) + 5(x + -2) = 2 (3 * -2 + x * -2) + 5(x + -2) = 2 (-6 + -2x) + 5(x + -2) = 2 Reorder the terms: -6 + -2x + 5(-2 + x) = 2 -6 + -2x + (-2 * 5 + x * 5) = 2 -6 + -2x + (-10 + 5x) = 2 Reorder the terms: -6 + -10 + -2x + 5x = 2 Combine like terms: -6 + -10 = -16 -16 + -2x + 5x = 2 Combine like terms: -2x + 5x = 3x -16 + 3x = 2 Solving -16 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 2 + 16 3x = 2 + 16 Combine like terms: 2 + 16 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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