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Simplifying (6x + -2) = 3(x + 1) + 6 Reorder the terms: (-2 + 6x) = 3(x + 1) + 6 Remove parenthesis around (-2 + 6x) -2 + 6x = 3(x + 1) + 6 Reorder the terms: -2 + 6x = 3(1 + x) + 6 -2 + 6x = (1 * 3 + x * 3) + 6 -2 + 6x = (3 + 3x) + 6 Reorder the terms: -2 + 6x = 3 + 6 + 3x Combine like terms: 3 + 6 = 9 -2 + 6x = 9 + 3x Solving -2 + 6x = 9 + 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 = 9 + 3x + -3x Combine like terms: 6x + -3x = 3x -2 + 3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3x = 9 + 0 -2 + 3x = 9 Add '2' to each side of the equation. -2 + 2 + 3x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 9 + 2 3x = 9 + 2 Combine like terms: 9 + 2 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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