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Simplifying 3x + -2(3x + -2) = 6 + -1(3x + -8) + 9x Reorder the terms: 3x + -2(-2 + 3x) = 6 + -1(3x + -8) + 9x 3x + (-2 * -2 + 3x * -2) = 6 + -1(3x + -8) + 9x 3x + (4 + -6x) = 6 + -1(3x + -8) + 9x Reorder the terms: 4 + 3x + -6x = 6 + -1(3x + -8) + 9x Combine like terms: 3x + -6x = -3x 4 + -3x = 6 + -1(3x + -8) + 9x Reorder the terms: 4 + -3x = 6 + -1(-8 + 3x) + 9x 4 + -3x = 6 + (-8 * -1 + 3x * -1) + 9x 4 + -3x = 6 + (8 + -3x) + 9x Combine like terms: 6 + 8 = 14 4 + -3x = 14 + -3x + 9x Combine like terms: -3x + 9x = 6x 4 + -3x = 14 + 6x Solving 4 + -3x = 14 + 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. 4 + -3x + -6x = 14 + 6x + -6x Combine like terms: -3x + -6x = -9x 4 + -9x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -9x = 14 + 0 4 + -9x = 14 Add '-4' to each side of the equation. 4 + -4 + -9x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 14 + -4 -9x = 14 + -4 Combine like terms: 14 + -4 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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