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