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Simplifying 3x + 2 = 3 + -1(3x + -6) Reorder the terms: 2 + 3x = 3 + -1(3x + -6) Reorder the terms: 2 + 3x = 3 + -1(-6 + 3x) 2 + 3x = 3 + (-6 * -1 + 3x * -1) 2 + 3x = 3 + (6 + -3x) Combine like terms: 3 + 6 = 9 2 + 3x = 9 + -3x Solving 2 + 3x = 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 + 3x + 3x = 9 + -3x + 3x Combine like terms: 3x + 3x = 6x 2 + 6x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 6x = 9 + 0 2 + 6x = 9 Add '-2' to each side of the equation. 2 + -2 + 6x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 9 + -2 6x = 9 + -2 Combine like terms: 9 + -2 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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