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