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Simplifying 5x + -21 = -2x + 28 Reorder the terms: -21 + 5x = -2x + 28 Reorder the terms: -21 + 5x = 28 + -2x Solving -21 + 5x = 28 + -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. -21 + 5x + 2x = 28 + -2x + 2x Combine like terms: 5x + 2x = 7x -21 + 7x = 28 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 7x = 28 + 0 -21 + 7x = 28 Add '21' to each side of the equation. -21 + 21 + 7x = 28 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 28 + 21 7x = 28 + 21 Combine like terms: 28 + 21 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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