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Simplifying 3(4x + 3) = 2 + -5(7 + -1x) Reorder the terms: 3(3 + 4x) = 2 + -5(7 + -1x) (3 * 3 + 4x * 3) = 2 + -5(7 + -1x) (9 + 12x) = 2 + -5(7 + -1x) 9 + 12x = 2 + (7 * -5 + -1x * -5) 9 + 12x = 2 + (-35 + 5x) Combine like terms: 2 + -35 = -33 9 + 12x = -33 + 5x Solving 9 + 12x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 12x + -5x = -33 + 5x + -5x Combine like terms: 12x + -5x = 7x 9 + 7x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 7x = -33 + 0 9 + 7x = -33 Add '-9' to each side of the equation. 9 + -9 + 7x = -33 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = -33 + -9 7x = -33 + -9 Combine like terms: -33 + -9 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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