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Simplifying 3(3 + x) + -5(2 + x) = 3 (3 * 3 + x * 3) + -5(2 + x) = 3 (9 + 3x) + -5(2 + x) = 3 9 + 3x + (2 * -5 + x * -5) = 3 9 + 3x + (-10 + -5x) = 3 Reorder the terms: 9 + -10 + 3x + -5x = 3 Combine like terms: 9 + -10 = -1 -1 + 3x + -5x = 3 Combine like terms: 3x + -5x = -2x -1 + -2x = 3 Solving -1 + -2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 3 + 1 -2x = 3 + 1 Combine like terms: 3 + 1 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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