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Simplifying 9 + 18x + -2 = 9x + 46 + -4x Reorder the terms: 9 + -2 + 18x = 9x + 46 + -4x Combine like terms: 9 + -2 = 7 7 + 18x = 9x + 46 + -4x Reorder the terms: 7 + 18x = 46 + 9x + -4x Combine like terms: 9x + -4x = 5x 7 + 18x = 46 + 5x Solving 7 + 18x = 46 + 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 + 18x + -5x = 46 + 5x + -5x Combine like terms: 18x + -5x = 13x 7 + 13x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 13x = 46 + 0 7 + 13x = 46 Add '-7' to each side of the equation. 7 + -7 + 13x = 46 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 46 + -7 13x = 46 + -7 Combine like terms: 46 + -7 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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