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Simplifying 6 + -1(3x + 1) = x + 5 + 2x Reorder the terms: 6 + -1(1 + 3x) = x + 5 + 2x 6 + (1 * -1 + 3x * -1) = x + 5 + 2x 6 + (-1 + -3x) = x + 5 + 2x Combine like terms: 6 + -1 = 5 5 + -3x = x + 5 + 2x Reorder the terms: 5 + -3x = 5 + x + 2x Combine like terms: x + 2x = 3x 5 + -3x = 5 + 3x Add '-5' to each side of the equation. 5 + -5 + -3x = 5 + -5 + 3x Combine like terms: 5 + -5 = 0 0 + -3x = 5 + -5 + 3x -3x = 5 + -5 + 3x Combine like terms: 5 + -5 = 0 -3x = 0 + 3x -3x = 3x Solving -3x = 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. -3x + -3x = 3x + -3x Combine like terms: -3x + -3x = -6x -6x = 3x + -3x Combine like terms: 3x + -3x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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