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Simplifying 12x + -17x + 13 = 40x + -32 Reorder the terms: 13 + 12x + -17x = 40x + -32 Combine like terms: 12x + -17x = -5x 13 + -5x = 40x + -32 Reorder the terms: 13 + -5x = -32 + 40x Solving 13 + -5x = -32 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 13 + -5x + -40x = -32 + 40x + -40x Combine like terms: -5x + -40x = -45x 13 + -45x = -32 + 40x + -40x Combine like terms: 40x + -40x = 0 13 + -45x = -32 + 0 13 + -45x = -32 Add '-13' to each side of the equation. 13 + -13 + -45x = -32 + -13 Combine like terms: 13 + -13 = 0 0 + -45x = -32 + -13 -45x = -32 + -13 Combine like terms: -32 + -13 = -45 -45x = -45 Divide each side by '-45'. x = 1 Simplifying x = 1
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