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Simplifying 6x + 30 = 9x + 42 Reorder the terms: 30 + 6x = 9x + 42 Reorder the terms: 30 + 6x = 42 + 9x Solving 30 + 6x = 42 + 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. 30 + 6x + -9x = 42 + 9x + -9x Combine like terms: 6x + -9x = -3x 30 + -3x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -3x = 42 + 0 30 + -3x = 42 Add '-30' to each side of the equation. 30 + -30 + -3x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 42 + -30 -3x = 42 + -30 Combine like terms: 42 + -30 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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