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Simplifying 6(3x + -2) + -7(x + -3) = 0 Reorder the terms: 6(-2 + 3x) + -7(x + -3) = 0 (-2 * 6 + 3x * 6) + -7(x + -3) = 0 (-12 + 18x) + -7(x + -3) = 0 Reorder the terms: -12 + 18x + -7(-3 + x) = 0 -12 + 18x + (-3 * -7 + x * -7) = 0 -12 + 18x + (21 + -7x) = 0 Reorder the terms: -12 + 21 + 18x + -7x = 0 Combine like terms: -12 + 21 = 9 9 + 18x + -7x = 0 Combine like terms: 18x + -7x = 11x 9 + 11x = 0 Solving 9 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 0 + -9 11x = 0 + -9 Combine like terms: 0 + -9 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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