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Simplifying 6(3x + 4) = 12x + -7 + -1x Reorder the terms: 6(4 + 3x) = 12x + -7 + -1x (4 * 6 + 3x * 6) = 12x + -7 + -1x (24 + 18x) = 12x + -7 + -1x Reorder the terms: 24 + 18x = -7 + 12x + -1x Combine like terms: 12x + -1x = 11x 24 + 18x = -7 + 11x Solving 24 + 18x = -7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 24 + 18x + -11x = -7 + 11x + -11x Combine like terms: 18x + -11x = 7x 24 + 7x = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 24 + 7x = -7 + 0 24 + 7x = -7 Add '-24' to each side of the equation. 24 + -24 + 7x = -7 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = -7 + -24 7x = -7 + -24 Combine like terms: -7 + -24 = -31 7x = -31 Divide each side by '7'. x = -4.428571429 Simplifying x = -4.428571429
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