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Simplifying 7x + 19 = 7 + 6(7x + 2) Reorder the terms: 19 + 7x = 7 + 6(7x + 2) Reorder the terms: 19 + 7x = 7 + 6(2 + 7x) 19 + 7x = 7 + (2 * 6 + 7x * 6) 19 + 7x = 7 + (12 + 42x) Combine like terms: 7 + 12 = 19 19 + 7x = 19 + 42x Add '-19' to each side of the equation. 19 + -19 + 7x = 19 + -19 + 42x Combine like terms: 19 + -19 = 0 0 + 7x = 19 + -19 + 42x 7x = 19 + -19 + 42x Combine like terms: 19 + -19 = 0 7x = 0 + 42x 7x = 42x Solving 7x = 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. 7x + -42x = 42x + -42x Combine like terms: 7x + -42x = -35x -35x = 42x + -42x Combine like terms: 42x + -42x = 0 -35x = 0 Divide each side by '-35'. x = 0 Simplifying x = 0
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