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Simplifying -5x + 21 = 2x + 56 Reorder the terms: 21 + -5x = 2x + 56 Reorder the terms: 21 + -5x = 56 + 2x Solving 21 + -5x = 56 + 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 = 56 + 2x + -2x Combine like terms: -5x + -2x = -7x 21 + -7x = 56 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -7x = 56 + 0 21 + -7x = 56 Add '-21' to each side of the equation. 21 + -21 + -7x = 56 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 56 + -21 -7x = 56 + -21 Combine like terms: 56 + -21 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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