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Simplifying 21 = 5(x + 7) + 2x Reorder the terms: 21 = 5(7 + x) + 2x 21 = (7 * 5 + x * 5) + 2x 21 = (35 + 5x) + 2x Combine like terms: 5x + 2x = 7x 21 = 35 + 7x Solving 21 = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + -7x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -7x = 35 + 0 21 + -7x = 35 Add '-21' to each side of the equation. 21 + -21 + -7x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 35 + -21 -7x = 35 + -21 Combine like terms: 35 + -21 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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