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Simplifying 42 + 5x = 3x + 28 Reorder the terms: 42 + 5x = 28 + 3x Solving 42 + 5x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + 5x + -3x = 28 + 3x + -3x Combine like terms: 5x + -3x = 2x 42 + 2x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 2x = 28 + 0 42 + 2x = 28 Add '-42' to each side of the equation. 42 + -42 + 2x = 28 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 28 + -42 2x = 28 + -42 Combine like terms: 28 + -42 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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