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Simplifying 3(x + 2) + -5(x + 2) = 2 + -4 Reorder the terms: 3(2 + x) + -5(x + 2) = 2 + -4 (2 * 3 + x * 3) + -5(x + 2) = 2 + -4 (6 + 3x) + -5(x + 2) = 2 + -4 Reorder the terms: 6 + 3x + -5(2 + x) = 2 + -4 6 + 3x + (2 * -5 + x * -5) = 2 + -4 6 + 3x + (-10 + -5x) = 2 + -4 Reorder the terms: 6 + -10 + 3x + -5x = 2 + -4 Combine like terms: 6 + -10 = -4 -4 + 3x + -5x = 2 + -4 Combine like terms: 3x + -5x = -2x -4 + -2x = 2 + -4 Combine like terms: 2 + -4 = -2 -4 + -2x = -2 Solving -4 + -2x = -2 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 + -2x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -2 + 4 -2x = -2 + 4 Combine like terms: -2 + 4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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