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Simplifying 6x + 4(6x + 2) = 9x + -6 Reorder the terms: 6x + 4(2 + 6x) = 9x + -6 6x + (2 * 4 + 6x * 4) = 9x + -6 6x + (8 + 24x) = 9x + -6 Reorder the terms: 8 + 6x + 24x = 9x + -6 Combine like terms: 6x + 24x = 30x 8 + 30x = 9x + -6 Reorder the terms: 8 + 30x = -6 + 9x Solving 8 + 30x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 30x + -9x = -6 + 9x + -9x Combine like terms: 30x + -9x = 21x 8 + 21x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + 21x = -6 + 0 8 + 21x = -6 Add '-8' to each side of the equation. 8 + -8 + 21x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 21x = -6 + -8 21x = -6 + -8 Combine like terms: -6 + -8 = -14 21x = -14 Divide each side by '21'. x = -0.6666666667 Simplifying x = -0.6666666667
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