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Simplifying 30(x + 7) = 42(x + 5) Reorder the terms: 30(7 + x) = 42(x + 5) (7 * 30 + x * 30) = 42(x + 5) (210 + 30x) = 42(x + 5) Reorder the terms: 210 + 30x = 42(5 + x) 210 + 30x = (5 * 42 + x * 42) 210 + 30x = (210 + 42x) Add '-210' to each side of the equation. 210 + -210 + 30x = 210 + -210 + 42x Combine like terms: 210 + -210 = 0 0 + 30x = 210 + -210 + 42x 30x = 210 + -210 + 42x Combine like terms: 210 + -210 = 0 30x = 0 + 42x 30x = 42x Solving 30x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 30x + -42x = 42x + -42x Combine like terms: 30x + -42x = -12x -12x = 42x + -42x Combine like terms: 42x + -42x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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