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Simplifying 7(x + 5) + -7 = 55 + -2x Reorder the terms: 7(5 + x) + -7 = 55 + -2x (5 * 7 + x * 7) + -7 = 55 + -2x (35 + 7x) + -7 = 55 + -2x Reorder the terms: 35 + -7 + 7x = 55 + -2x Combine like terms: 35 + -7 = 28 28 + 7x = 55 + -2x Solving 28 + 7x = 55 + -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. 28 + 7x + 2x = 55 + -2x + 2x Combine like terms: 7x + 2x = 9x 28 + 9x = 55 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 9x = 55 + 0 28 + 9x = 55 Add '-28' to each side of the equation. 28 + -28 + 9x = 55 + -28 Combine like terms: 28 + -28 = 0 0 + 9x = 55 + -28 9x = 55 + -28 Combine like terms: 55 + -28 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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