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Simplifying -2x + 7 = 5x + -21 Reorder the terms: 7 + -2x = 5x + -21 Reorder the terms: 7 + -2x = -21 + 5x Solving 7 + -2x = -21 + 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. 7 + -2x + -5x = -21 + 5x + -5x Combine like terms: -2x + -5x = -7x 7 + -7x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -7x = -21 + 0 7 + -7x = -21 Add '-7' to each side of the equation. 7 + -7 + -7x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -21 + -7 -7x = -21 + -7 Combine like terms: -21 + -7 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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