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Simplifying (6x + 2) + -9x = -6(3x + 2) Reorder the terms: (2 + 6x) + -9x = -6(3x + 2) Remove parenthesis around (2 + 6x) 2 + 6x + -9x = -6(3x + 2) Combine like terms: 6x + -9x = -3x 2 + -3x = -6(3x + 2) Reorder the terms: 2 + -3x = -6(2 + 3x) 2 + -3x = (2 * -6 + 3x * -6) 2 + -3x = (-12 + -18x) Solving 2 + -3x = -12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 2 + -3x + 18x = -12 + -18x + 18x Combine like terms: -3x + 18x = 15x 2 + 15x = -12 + -18x + 18x Combine like terms: -18x + 18x = 0 2 + 15x = -12 + 0 2 + 15x = -12 Add '-2' to each side of the equation. 2 + -2 + 15x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = -12 + -2 15x = -12 + -2 Combine like terms: -12 + -2 = -14 15x = -14 Divide each side by '15'. x = -0.9333333333 Simplifying x = -0.9333333333
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