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Simplifying 9x + -2x + 8 = 4x + 38 Reorder the terms: 8 + 9x + -2x = 4x + 38 Combine like terms: 9x + -2x = 7x 8 + 7x = 4x + 38 Reorder the terms: 8 + 7x = 38 + 4x Solving 8 + 7x = 38 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 7x + -4x = 38 + 4x + -4x Combine like terms: 7x + -4x = 3x 8 + 3x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 3x = 38 + 0 8 + 3x = 38 Add '-8' to each side of the equation. 8 + -8 + 3x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 38 + -8 3x = 38 + -8 Combine like terms: 38 + -8 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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