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Simplifying 29x + -10 + -1(17x + -6) = 32 Reorder the terms: 29x + -10 + -1(-6 + 17x) = 32 29x + -10 + (-6 * -1 + 17x * -1) = 32 29x + -10 + (6 + -17x) = 32 Reorder the terms: -10 + 6 + 29x + -17x = 32 Combine like terms: -10 + 6 = -4 -4 + 29x + -17x = 32 Combine like terms: 29x + -17x = 12x -4 + 12x = 32 Solving -4 + 12x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 32 + 4 12x = 32 + 4 Combine like terms: 32 + 4 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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