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Simplifying 7x + 7 = -4 + 5x + 21 Reorder the terms: 7 + 7x = -4 + 5x + 21 Reorder the terms: 7 + 7x = -4 + 21 + 5x Combine like terms: -4 + 21 = 17 7 + 7x = 17 + 5x Solving 7 + 7x = 17 + 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 + 7x + -5x = 17 + 5x + -5x Combine like terms: 7x + -5x = 2x 7 + 2x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 2x = 17 + 0 7 + 2x = 17 Add '-7' to each side of the equation. 7 + -7 + 2x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 17 + -7 2x = 17 + -7 Combine like terms: 17 + -7 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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