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Simplifying x + 10 = 5x + 2 Reorder the terms: 10 + x = 5x + 2 Reorder the terms: 10 + x = 2 + 5x Solving 10 + x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + x + -5x = 2 + 5x + -5x Combine like terms: x + -5x = -4x 10 + -4x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -4x = 2 + 0 10 + -4x = 2 Add '-10' to each side of the equation. 10 + -10 + -4x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 2 + -10 -4x = 2 + -10 Combine like terms: 2 + -10 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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