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Simplifying 3(4x + 1) = 3x + -9x Reorder the terms: 3(1 + 4x) = 3x + -9x (1 * 3 + 4x * 3) = 3x + -9x (3 + 12x) = 3x + -9x Combine like terms: 3x + -9x = -6x 3 + 12x = -6x Solving 3 + 12x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 12x + 6x = -6x + 6x Combine like terms: 12x + 6x = 18x 3 + 18x = -6x + 6x Combine like terms: -6x + 6x = 0 3 + 18x = 0 Add '-3' to each side of the equation. 3 + -3 + 18x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 18x = 0 + -3 18x = 0 + -3 Combine like terms: 0 + -3 = -3 18x = -3 Divide each side by '18'. x = -0.1666666667 Simplifying x = -0.1666666667
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