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Simplifying 3(4x + 3) + -4(x + -4) = 5(x + 2) Reorder the terms: 3(3 + 4x) + -4(x + -4) = 5(x + 2) (3 * 3 + 4x * 3) + -4(x + -4) = 5(x + 2) (9 + 12x) + -4(x + -4) = 5(x + 2) Reorder the terms: 9 + 12x + -4(-4 + x) = 5(x + 2) 9 + 12x + (-4 * -4 + x * -4) = 5(x + 2) 9 + 12x + (16 + -4x) = 5(x + 2) Reorder the terms: 9 + 16 + 12x + -4x = 5(x + 2) Combine like terms: 9 + 16 = 25 25 + 12x + -4x = 5(x + 2) Combine like terms: 12x + -4x = 8x 25 + 8x = 5(x + 2) Reorder the terms: 25 + 8x = 5(2 + x) 25 + 8x = (2 * 5 + x * 5) 25 + 8x = (10 + 5x) Solving 25 + 8x = 10 + 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. 25 + 8x + -5x = 10 + 5x + -5x Combine like terms: 8x + -5x = 3x 25 + 3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 25 + 3x = 10 + 0 25 + 3x = 10 Add '-25' to each side of the equation. 25 + -25 + 3x = 10 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 10 + -25 3x = 10 + -25 Combine like terms: 10 + -25 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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