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Simplifying 5x + 10 = 38 + -2x Reorder the terms: 10 + 5x = 38 + -2x Solving 10 + 5x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 5x + 2x = 38 + -2x + 2x Combine like terms: 5x + 2x = 7x 10 + 7x = 38 + -2x + 2x Combine like terms: -2x + 2x = 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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