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