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Simplifying 8x + 18 = 5x + 42 Reorder the terms: 18 + 8x = 5x + 42 Reorder the terms: 18 + 8x = 42 + 5x Solving 18 + 8x = 42 + 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. 18 + 8x + -5x = 42 + 5x + -5x Combine like terms: 8x + -5x = 3x 18 + 3x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 3x = 42 + 0 18 + 3x = 42 Add '-18' to each side of the equation. 18 + -18 + 3x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 42 + -18 3x = 42 + -18 Combine like terms: 42 + -18 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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