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Simplifying (3x + 4) = 6x + -3(3x + 2) Reorder the terms: (4 + 3x) = 6x + -3(3x + 2) Remove parenthesis around (4 + 3x) 4 + 3x = 6x + -3(3x + 2) Reorder the terms: 4 + 3x = 6x + -3(2 + 3x) 4 + 3x = 6x + (2 * -3 + 3x * -3) 4 + 3x = 6x + (-6 + -9x) Reorder the terms: 4 + 3x = -6 + 6x + -9x Combine like terms: 6x + -9x = -3x 4 + 3x = -6 + -3x Solving 4 + 3x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 3x + 3x = -6 + -3x + 3x Combine like terms: 3x + 3x = 6x 4 + 6x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 6x = -6 + 0 4 + 6x = -6 Add '-4' to each side of the equation. 4 + -4 + 6x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -6 + -4 6x = -6 + -4 Combine like terms: -6 + -4 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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