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Simplifying 3(x + 2) + -5(x + 3) = 1 Reorder the terms: 3(2 + x) + -5(x + 3) = 1 (2 * 3 + x * 3) + -5(x + 3) = 1 (6 + 3x) + -5(x + 3) = 1 Reorder the terms: 6 + 3x + -5(3 + x) = 1 6 + 3x + (3 * -5 + x * -5) = 1 6 + 3x + (-15 + -5x) = 1 Reorder the terms: 6 + -15 + 3x + -5x = 1 Combine like terms: 6 + -15 = -9 -9 + 3x + -5x = 1 Combine like terms: 3x + -5x = -2x -9 + -2x = 1 Solving -9 + -2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 1 + 9 -2x = 1 + 9 Combine like terms: 1 + 9 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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