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Simplifying 7(x + 5) + 2x = 7x + -21 Reorder the terms: 7(5 + x) + 2x = 7x + -21 (5 * 7 + x * 7) + 2x = 7x + -21 (35 + 7x) + 2x = 7x + -21 Combine like terms: 7x + 2x = 9x 35 + 9x = 7x + -21 Reorder the terms: 35 + 9x = -21 + 7x Solving 35 + 9x = -21 + 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. 35 + 9x + -7x = -21 + 7x + -7x Combine like terms: 9x + -7x = 2x 35 + 2x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 2x = -21 + 0 35 + 2x = -21 Add '-35' to each side of the equation. 35 + -35 + 2x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = -21 + -35 2x = -21 + -35 Combine like terms: -21 + -35 = -56 2x = -56 Divide each side by '2'. x = -28 Simplifying x = -28
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