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Simplifying -6(2x + 1) = -3 + 7 + -9x Reorder the terms: -6(1 + 2x) = -3 + 7 + -9x (1 * -6 + 2x * -6) = -3 + 7 + -9x (-6 + -12x) = -3 + 7 + -9x Combine like terms: -3 + 7 = 4 -6 + -12x = 4 + -9x Solving -6 + -12x = 4 + -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. -6 + -12x + 9x = 4 + -9x + 9x Combine like terms: -12x + 9x = -3x -6 + -3x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + -3x = 4 + 0 -6 + -3x = 4 Add '6' to each side of the equation. -6 + 6 + -3x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 4 + 6 -3x = 4 + 6 Combine like terms: 4 + 6 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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