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Simplifying 3(4x + 3) = 5 + -4(x + -1) Reorder the terms: 3(3 + 4x) = 5 + -4(x + -1) (3 * 3 + 4x * 3) = 5 + -4(x + -1) (9 + 12x) = 5 + -4(x + -1) Reorder the terms: 9 + 12x = 5 + -4(-1 + x) 9 + 12x = 5 + (-1 * -4 + x * -4) 9 + 12x = 5 + (4 + -4x) Combine like terms: 5 + 4 = 9 9 + 12x = 9 + -4x Add '-9' to each side of the equation. 9 + -9 + 12x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 0 + 12x = 9 + -9 + -4x 12x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 12x = 0 + -4x 12x = -4x Solving 12x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12x + 4x = -4x + 4x Combine like terms: 12x + 4x = 16x 16x = -4x + 4x Combine like terms: -4x + 4x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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