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Simplifying 15x + 10 = 8x + 38 Reorder the terms: 10 + 15x = 8x + 38 Reorder the terms: 10 + 15x = 38 + 8x Solving 10 + 15x = 38 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 15x + -8x = 38 + 8x + -8x Combine like terms: 15x + -8x = 7x 10 + 7x = 38 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 7x = 38 + 0 10 + 7x = 38 Add '-10' to each side of the equation. 10 + -10 + 7x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 38 + -10 7x = 38 + -10 Combine like terms: 38 + -10 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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