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Simplifying -42 + 9x = 3x + 96 Reorder the terms: -42 + 9x = 96 + 3x Solving -42 + 9x = 96 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -42 + 9x + -3x = 96 + 3x + -3x Combine like terms: 9x + -3x = 6x -42 + 6x = 96 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 6x = 96 + 0 -42 + 6x = 96 Add '42' to each side of the equation. -42 + 42 + 6x = 96 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 96 + 42 6x = 96 + 42 Combine like terms: 96 + 42 = 138 6x = 138 Divide each side by '6'. x = 23 Simplifying x = 23
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