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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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