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Simplifying 3x + -7 + 9x = 18 + 5x + -18 Reorder the terms: -7 + 3x + 9x = 18 + 5x + -18 Combine like terms: 3x + 9x = 12x -7 + 12x = 18 + 5x + -18 Reorder the terms: -7 + 12x = 18 + -18 + 5x Combine like terms: 18 + -18 = 0 -7 + 12x = 0 + 5x -7 + 12x = 5x Solving -7 + 12x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 12x + -5x = 5x + -5x Combine like terms: 12x + -5x = 7x -7 + 7x = 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 7x = 0 Add '7' to each side of the equation. -7 + 7 + 7x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 0 + 7 7x = 0 + 7 Combine like terms: 0 + 7 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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