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Simplifying 3x + 55 = 8x + 10 Reorder the terms: 55 + 3x = 8x + 10 Reorder the terms: 55 + 3x = 10 + 8x Solving 55 + 3x = 10 + 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. 55 + 3x + -8x = 10 + 8x + -8x Combine like terms: 3x + -8x = -5x 55 + -5x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 55 + -5x = 10 + 0 55 + -5x = 10 Add '-55' to each side of the equation. 55 + -55 + -5x = 10 + -55 Combine like terms: 55 + -55 = 0 0 + -5x = 10 + -55 -5x = 10 + -55 Combine like terms: 10 + -55 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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