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Simplifying 14x + 7x + -9 = 18x + 42 Reorder the terms: -9 + 14x + 7x = 18x + 42 Combine like terms: 14x + 7x = 21x -9 + 21x = 18x + 42 Reorder the terms: -9 + 21x = 42 + 18x Solving -9 + 21x = 42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -9 + 21x + -18x = 42 + 18x + -18x Combine like terms: 21x + -18x = 3x -9 + 3x = 42 + 18x + -18x Combine like terms: 18x + -18x = 0 -9 + 3x = 42 + 0 -9 + 3x = 42 Add '9' to each side of the equation. -9 + 9 + 3x = 42 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 42 + 9 3x = 42 + 9 Combine like terms: 42 + 9 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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