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Simplifying 2 + -3(x + 1) = 1 + 5x + -2 Reorder the terms: 2 + -3(1 + x) = 1 + 5x + -2 2 + (1 * -3 + x * -3) = 1 + 5x + -2 2 + (-3 + -3x) = 1 + 5x + -2 Combine like terms: 2 + -3 = -1 -1 + -3x = 1 + 5x + -2 Reorder the terms: -1 + -3x = 1 + -2 + 5x Combine like terms: 1 + -2 = -1 -1 + -3x = -1 + 5x Add '1' to each side of the equation. -1 + 1 + -3x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 0 + -3x = -1 + 1 + 5x -3x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 -3x = 0 + 5x -3x = 5x Solving -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. -3x + -5x = 5x + -5x Combine like terms: -3x + -5x = -8x -8x = 5x + -5x Combine like terms: 5x + -5x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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