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Simplifying 7x + 1 + 38 = 10x + 9 Reorder the terms: 1 + 38 + 7x = 10x + 9 Combine like terms: 1 + 38 = 39 39 + 7x = 10x + 9 Reorder the terms: 39 + 7x = 9 + 10x Solving 39 + 7x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 39 + 7x + -10x = 9 + 10x + -10x Combine like terms: 7x + -10x = -3x 39 + -3x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + -3x = 9 + 0 39 + -3x = 9 Add '-39' to each side of the equation. 39 + -39 + -3x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -3x = 9 + -39 -3x = 9 + -39 Combine like terms: 9 + -39 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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