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Simplifying 10x + 5(-9x + 2) = 10 + 7x Reorder the terms: 10x + 5(2 + -9x) = 10 + 7x 10x + (2 * 5 + -9x * 5) = 10 + 7x 10x + (10 + -45x) = 10 + 7x Reorder the terms: 10 + 10x + -45x = 10 + 7x Combine like terms: 10x + -45x = -35x 10 + -35x = 10 + 7x Add '-10' to each side of the equation. 10 + -10 + -35x = 10 + -10 + 7x Combine like terms: 10 + -10 = 0 0 + -35x = 10 + -10 + 7x -35x = 10 + -10 + 7x Combine like terms: 10 + -10 = 0 -35x = 0 + 7x -35x = 7x Solving -35x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -35x + -7x = 7x + -7x Combine like terms: -35x + -7x = -42x -42x = 7x + -7x Combine like terms: 7x + -7x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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