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Simplifying 4(3x + 1) = 3x + -6x Reorder the terms: 4(1 + 3x) = 3x + -6x (1 * 4 + 3x * 4) = 3x + -6x (4 + 12x) = 3x + -6x Combine like terms: 3x + -6x = -3x 4 + 12x = -3x Solving 4 + 12x = -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 + 12x + 3x = -3x + 3x Combine like terms: 12x + 3x = 15x 4 + 15x = -3x + 3x Combine like terms: -3x + 3x = 0 4 + 15x = 0 Add '-4' to each side of the equation. 4 + -4 + 15x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 0 + -4 15x = 0 + -4 Combine like terms: 0 + -4 = -4 15x = -4 Divide each side by '15'. x = -0.2666666667 Simplifying x = -0.2666666667
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