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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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