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Simplifying 3(2x + -7) + -4(3x + -2) = 0 Reorder the terms: 3(-7 + 2x) + -4(3x + -2) = 0 (-7 * 3 + 2x * 3) + -4(3x + -2) = 0 (-21 + 6x) + -4(3x + -2) = 0 Reorder the terms: -21 + 6x + -4(-2 + 3x) = 0 -21 + 6x + (-2 * -4 + 3x * -4) = 0 -21 + 6x + (8 + -12x) = 0 Reorder the terms: -21 + 8 + 6x + -12x = 0 Combine like terms: -21 + 8 = -13 -13 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -13 + -6x = 0 Solving -13 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -6x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 0 + 13 -6x = 0 + 13 Combine like terms: 0 + 13 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667
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