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Simplifying 5x = 21 + -2(x + 7) Reorder the terms: 5x = 21 + -2(7 + x) 5x = 21 + (7 * -2 + x * -2) 5x = 21 + (-14 + -2x) Combine like terms: 21 + -14 = 7 5x = 7 + -2x Solving 5x = 7 + -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. 5x + 2x = 7 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 7 + 0 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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