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Simplifying 6(3x + -2) + -1(9x + 3) + -6 = 0 Reorder the terms: 6(-2 + 3x) + -1(9x + 3) + -6 = 0 (-2 * 6 + 3x * 6) + -1(9x + 3) + -6 = 0 (-12 + 18x) + -1(9x + 3) + -6 = 0 Reorder the terms: -12 + 18x + -1(3 + 9x) + -6 = 0 -12 + 18x + (3 * -1 + 9x * -1) + -6 = 0 -12 + 18x + (-3 + -9x) + -6 = 0 Reorder the terms: -12 + -3 + -6 + 18x + -9x = 0 Combine like terms: -12 + -3 = -15 -15 + -6 + 18x + -9x = 0 Combine like terms: -15 + -6 = -21 -21 + 18x + -9x = 0 Combine like terms: 18x + -9x = 9x -21 + 9x = 0 Solving -21 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 9x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 0 + 21 9x = 0 + 21 Combine like terms: 0 + 21 = 21 9x = 21 Divide each side by '9'. x = 2.333333333 Simplifying x = 2.333333333
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