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Simplifying 3x + 10 = 8x + 5 Reorder the terms: 10 + 3x = 8x + 5 Reorder the terms: 10 + 3x = 5 + 8x Solving 10 + 3x = 5 + 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 + 3x + -8x = 5 + 8x + -8x Combine like terms: 3x + -8x = -5x 10 + -5x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -5x = 5 + 0 10 + -5x = 5 Add '-10' to each side of the equation. 10 + -10 + -5x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 5 + -10 -5x = 5 + -10 Combine like terms: 5 + -10 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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