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Simplifying 5(-7x + 2) = 3x + 10 Reorder the terms: 5(2 + -7x) = 3x + 10 (2 * 5 + -7x * 5) = 3x + 10 (10 + -35x) = 3x + 10 Reorder the terms: 10 + -35x = 10 + 3x Add '-10' to each side of the equation. 10 + -10 + -35x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + -35x = 10 + -10 + 3x -35x = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 -35x = 0 + 3x -35x = 3x Solving -35x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35x + -3x = 3x + -3x Combine like terms: -35x + -3x = -38x -38x = 3x + -3x Combine like terms: 3x + -3x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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