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Simplifying 2x + 42 = 5x + -9 Reorder the terms: 42 + 2x = 5x + -9 Reorder the terms: 42 + 2x = -9 + 5x Solving 42 + 2x = -9 + 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. 42 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x 42 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -3x = -9 + 0 42 + -3x = -9 Add '-42' to each side of the equation. 42 + -42 + -3x = -9 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = -9 + -42 -3x = -9 + -42 Combine like terms: -9 + -42 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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