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Simplifying 5x + 42 = 9x + 10 Reorder the terms: 42 + 5x = 9x + 10 Reorder the terms: 42 + 5x = 10 + 9x Solving 42 + 5x = 10 + 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 + 5x + -9x = 10 + 9x + -9x Combine like terms: 5x + -9x = -4x 42 + -4x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + -4x = 10 + 0 42 + -4x = 10 Add '-42' to each side of the equation. 42 + -42 + -4x = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 10 + -42 -4x = 10 + -42 Combine like terms: 10 + -42 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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