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Simplifying 4x + 42 = 9x + 7 Reorder the terms: 42 + 4x = 9x + 7 Reorder the terms: 42 + 4x = 7 + 9x Solving 42 + 4x = 7 + 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 + 4x + -9x = 7 + 9x + -9x Combine like terms: 4x + -9x = -5x 42 + -5x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -5x = 7 + 0 42 + -5x = 7 Add '-42' to each side of the equation. 42 + -42 + -5x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 7 + -42 -5x = 7 + -42 Combine like terms: 7 + -42 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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