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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 = 4 -2 + 6x = 4 + 3x Solving -2 + 6x = 4 + 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. -2 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x -2 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3x = 4 + 0 -2 + 3x = 4 Add '2' to each side of the equation. -2 + 2 + 3x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 4 + 2 3x = 4 + 2 Combine like terms: 4 + 2 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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