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Simplifying 3(x + -2) + 1 = 2 + -3(x + 1) Reorder the terms: 3(-2 + x) + 1 = 2 + -3(x + 1) (-2 * 3 + x * 3) + 1 = 2 + -3(x + 1) (-6 + 3x) + 1 = 2 + -3(x + 1) Reorder the terms: -6 + 1 + 3x = 2 + -3(x + 1) Combine like terms: -6 + 1 = -5 -5 + 3x = 2 + -3(x + 1) Reorder the terms: -5 + 3x = 2 + -3(1 + x) -5 + 3x = 2 + (1 * -3 + x * -3) -5 + 3x = 2 + (-3 + -3x) Combine like terms: 2 + -3 = -1 -5 + 3x = -1 + -3x Solving -5 + 3x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 3x + 3x = -1 + -3x + 3x Combine like terms: 3x + 3x = 6x -5 + 6x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 6x = -1 + 0 -5 + 6x = -1 Add '5' to each side of the equation. -5 + 5 + 6x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = -1 + 5 6x = -1 + 5 Combine like terms: -1 + 5 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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