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Simplifying 3(x + -2) + -1(x + 3) = 1 Reorder the terms: 3(-2 + x) + -1(x + 3) = 1 (-2 * 3 + x * 3) + -1(x + 3) = 1 (-6 + 3x) + -1(x + 3) = 1 Reorder the terms: -6 + 3x + -1(3 + x) = 1 -6 + 3x + (3 * -1 + x * -1) = 1 -6 + 3x + (-3 + -1x) = 1 Reorder the terms: -6 + -3 + 3x + -1x = 1 Combine like terms: -6 + -3 = -9 -9 + 3x + -1x = 1 Combine like terms: 3x + -1x = 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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