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Simplifying 7(x + 7) + -7 = 114 + -2x Reorder the terms: 7(7 + x) + -7 = 114 + -2x (7 * 7 + x * 7) + -7 = 114 + -2x (49 + 7x) + -7 = 114 + -2x Reorder the terms: 49 + -7 + 7x = 114 + -2x Combine like terms: 49 + -7 = 42 42 + 7x = 114 + -2x Solving 42 + 7x = 114 + -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. 42 + 7x + 2x = 114 + -2x + 2x Combine like terms: 7x + 2x = 9x 42 + 9x = 114 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 9x = 114 + 0 42 + 9x = 114 Add '-42' to each side of the equation. 42 + -42 + 9x = 114 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 114 + -42 9x = 114 + -42 Combine like terms: 114 + -42 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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