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Simplifying 5x + 42 = 2x + 18 Reorder the terms: 42 + 5x = 2x + 18 Reorder the terms: 42 + 5x = 18 + 2x Solving 42 + 5x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 5x + -2x = 18 + 2x + -2x Combine like terms: 5x + -2x = 3x 42 + 3x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 3x = 18 + 0 42 + 3x = 18 Add '-42' to each side of the equation. 42 + -42 + 3x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 18 + -42 3x = 18 + -42 Combine like terms: 18 + -42 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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