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Simplifying -4(6x + 3 + 7) + 3(4 + 6x + 2) = 0 Reorder the terms: -4(3 + 7 + 6x) + 3(4 + 6x + 2) = 0 Combine like terms: 3 + 7 = 10 -4(10 + 6x) + 3(4 + 6x + 2) = 0 (10 * -4 + 6x * -4) + 3(4 + 6x + 2) = 0 (-40 + -24x) + 3(4 + 6x + 2) = 0 Reorder the terms: -40 + -24x + 3(4 + 2 + 6x) = 0 Combine like terms: 4 + 2 = 6 -40 + -24x + 3(6 + 6x) = 0 -40 + -24x + (6 * 3 + 6x * 3) = 0 -40 + -24x + (18 + 18x) = 0 Reorder the terms: -40 + 18 + -24x + 18x = 0 Combine like terms: -40 + 18 = -22 -22 + -24x + 18x = 0 Combine like terms: -24x + 18x = -6x -22 + -6x = 0 Solving -22 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6x = 0 + 22 -6x = 0 + 22 Combine like terms: 0 + 22 = 22 -6x = 22 Divide each side by '-6'. x = -3.666666667 Simplifying x = -3.666666667
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