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Simplifying 9x + 12 = 6x + 42 Reorder the terms: 12 + 9x = 6x + 42 Reorder the terms: 12 + 9x = 42 + 6x Solving 12 + 9x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 9x + -6x = 42 + 6x + -6x Combine like terms: 9x + -6x = 3x 12 + 3x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 3x = 42 + 0 12 + 3x = 42 Add '-12' to each side of the equation. 12 + -12 + 3x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 42 + -12 3x = 42 + -12 Combine like terms: 42 + -12 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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