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Simplifying -2(3x + 1) + 3(x + 4) = 0 Reorder the terms: -2(1 + 3x) + 3(x + 4) = 0 (1 * -2 + 3x * -2) + 3(x + 4) = 0 (-2 + -6x) + 3(x + 4) = 0 Reorder the terms: -2 + -6x + 3(4 + x) = 0 -2 + -6x + (4 * 3 + x * 3) = 0 -2 + -6x + (12 + 3x) = 0 Reorder the terms: -2 + 12 + -6x + 3x = 0 Combine like terms: -2 + 12 = 10 10 + -6x + 3x = 0 Combine like terms: -6x + 3x = -3x 10 + -3x = 0 Solving 10 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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