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Simplifying 7(5 + -3x) = 5(7 + -2x) (5 * 7 + -3x * 7) = 5(7 + -2x) (35 + -21x) = 5(7 + -2x) 35 + -21x = (7 * 5 + -2x * 5) 35 + -21x = (35 + -10x) Add '-35' to each side of the equation. 35 + -35 + -21x = 35 + -35 + -10x Combine like terms: 35 + -35 = 0 0 + -21x = 35 + -35 + -10x -21x = 35 + -35 + -10x Combine like terms: 35 + -35 = 0 -21x = 0 + -10x -21x = -10x Solving -21x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -21x + 10x = -10x + 10x Combine like terms: -21x + 10x = -11x -11x = -10x + 10x Combine like terms: -10x + 10x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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