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Simplifying 3(3x + 1) + -4(x + -4) = 29 Reorder the terms: 3(1 + 3x) + -4(x + -4) = 29 (1 * 3 + 3x * 3) + -4(x + -4) = 29 (3 + 9x) + -4(x + -4) = 29 Reorder the terms: 3 + 9x + -4(-4 + x) = 29 3 + 9x + (-4 * -4 + x * -4) = 29 3 + 9x + (16 + -4x) = 29 Reorder the terms: 3 + 16 + 9x + -4x = 29 Combine like terms: 3 + 16 = 19 19 + 9x + -4x = 29 Combine like terms: 9x + -4x = 5x 19 + 5x = 29 Solving 19 + 5x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5x = 29 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 29 + -19 5x = 29 + -19 Combine like terms: 29 + -19 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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