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Simplifying (16x + -42) = (9x + 14) Reorder the terms: (-42 + 16x) = (9x + 14) Remove parenthesis around (-42 + 16x) -42 + 16x = (9x + 14) Reorder the terms: -42 + 16x = (14 + 9x) Remove parenthesis around (14 + 9x) -42 + 16x = 14 + 9x Solving -42 + 16x = 14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 16x + -9x = 14 + 9x + -9x Combine like terms: 16x + -9x = 7x -42 + 7x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + 7x = 14 + 0 -42 + 7x = 14 Add '42' to each side of the equation. -42 + 42 + 7x = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 14 + 42 7x = 14 + 42 Combine like terms: 14 + 42 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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