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Simplifying 5x + 10 = x + 38 Reorder the terms: 10 + 5x = x + 38 Reorder the terms: 10 + 5x = 38 + x Solving 10 + 5x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 5x + -1x = 38 + x + -1x Combine like terms: 5x + -1x = 4x 10 + 4x = 38 + x + -1x Combine like terms: x + -1x = 0 10 + 4x = 38 + 0 10 + 4x = 38 Add '-10' to each side of the equation. 10 + -10 + 4x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 38 + -10 4x = 38 + -10 Combine like terms: 38 + -10 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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