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Simplifying 9x + 10 = x + 42 Reorder the terms: 10 + 9x = x + 42 Reorder the terms: 10 + 9x = 42 + x Solving 10 + 9x = 42 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 9x + -1x = 42 + x + -1x Combine like terms: 9x + -1x = 8x 10 + 8x = 42 + x + -1x Combine like terms: x + -1x = 0 10 + 8x = 42 + 0 10 + 8x = 42 Add '-10' to each side of the equation. 10 + -10 + 8x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 42 + -10 8x = 42 + -10 Combine like terms: 42 + -10 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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