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Simplifying 3x + -1 = 2(x + 3) + -3(2 + -1x) Reorder the terms: -1 + 3x = 2(x + 3) + -3(2 + -1x) Reorder the terms: -1 + 3x = 2(3 + x) + -3(2 + -1x) -1 + 3x = (3 * 2 + x * 2) + -3(2 + -1x) -1 + 3x = (6 + 2x) + -3(2 + -1x) -1 + 3x = 6 + 2x + (2 * -3 + -1x * -3) -1 + 3x = 6 + 2x + (-6 + 3x) Reorder the terms: -1 + 3x = 6 + -6 + 2x + 3x Combine like terms: 6 + -6 = 0 -1 + 3x = 0 + 2x + 3x -1 + 3x = 2x + 3x Combine like terms: 2x + 3x = 5x -1 + 3x = 5x Solving -1 + 3x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x -1 + -2x = 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -2x = 0 Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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