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Simplifying 4(3x + 1) = 3x + -6 Reorder the terms: 4(1 + 3x) = 3x + -6 (1 * 4 + 3x * 4) = 3x + -6 (4 + 12x) = 3x + -6 Reorder the terms: 4 + 12x = -6 + 3x Solving 4 + 12x = -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 + 12x + -3x = -6 + 3x + -3x Combine like terms: 12x + -3x = 9x 4 + 9x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 9x = -6 + 0 4 + 9x = -6 Add '-4' to each side of the equation. 4 + -4 + 9x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -6 + -4 9x = -6 + -4 Combine like terms: -6 + -4 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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