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Simplifying 3(2x + -6) + 4(-3x + 8) = 0 Reorder the terms: 3(-6 + 2x) + 4(-3x + 8) = 0 (-6 * 3 + 2x * 3) + 4(-3x + 8) = 0 (-18 + 6x) + 4(-3x + 8) = 0 Reorder the terms: -18 + 6x + 4(8 + -3x) = 0 -18 + 6x + (8 * 4 + -3x * 4) = 0 -18 + 6x + (32 + -12x) = 0 Reorder the terms: -18 + 32 + 6x + -12x = 0 Combine like terms: -18 + 32 = 14 14 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 14 + -6x = 0 Solving 14 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 0 + -14 -6x = 0 + -14 Combine like terms: 0 + -14 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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