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Simplifying 9x + 38 = 7x + 10 Reorder the terms: 38 + 9x = 7x + 10 Reorder the terms: 38 + 9x = 10 + 7x Solving 38 + 9x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 38 + 9x + -7x = 10 + 7x + -7x Combine like terms: 9x + -7x = 2x 38 + 2x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + 2x = 10 + 0 38 + 2x = 10 Add '-38' to each side of the equation. 38 + -38 + 2x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 10 + -38 2x = 10 + -38 Combine like terms: 10 + -38 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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