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Simplifying 3(x + 1) = (6x + -2) + -9 Reorder the terms: 3(1 + x) = (6x + -2) + -9 (1 * 3 + x * 3) = (6x + -2) + -9 (3 + 3x) = (6x + -2) + -9 Reorder the terms: 3 + 3x = (-2 + 6x) + -9 Remove parenthesis around (-2 + 6x) 3 + 3x = -2 + 6x + -9 Reorder the terms: 3 + 3x = -2 + -9 + 6x Combine like terms: -2 + -9 = -11 3 + 3x = -11 + 6x Solving 3 + 3x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 3x + -6x = -11 + 6x + -6x Combine like terms: 3x + -6x = -3x 3 + -3x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -3x = -11 + 0 3 + -3x = -11 Add '-3' to each side of the equation. 3 + -3 + -3x = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -11 + -3 -3x = -11 + -3 Combine like terms: -11 + -3 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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