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Simplifying 7(x + 7) + 2 = -2(x + -3) + -11 Reorder the terms: 7(7 + x) + 2 = -2(x + -3) + -11 (7 * 7 + x * 7) + 2 = -2(x + -3) + -11 (49 + 7x) + 2 = -2(x + -3) + -11 Reorder the terms: 49 + 2 + 7x = -2(x + -3) + -11 Combine like terms: 49 + 2 = 51 51 + 7x = -2(x + -3) + -11 Reorder the terms: 51 + 7x = -2(-3 + x) + -11 51 + 7x = (-3 * -2 + x * -2) + -11 51 + 7x = (6 + -2x) + -11 Reorder the terms: 51 + 7x = 6 + -11 + -2x Combine like terms: 6 + -11 = -5 51 + 7x = -5 + -2x Solving 51 + 7x = -5 + -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. 51 + 7x + 2x = -5 + -2x + 2x Combine like terms: 7x + 2x = 9x 51 + 9x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 51 + 9x = -5 + 0 51 + 9x = -5 Add '-51' to each side of the equation. 51 + -51 + 9x = -5 + -51 Combine like terms: 51 + -51 = 0 0 + 9x = -5 + -51 9x = -5 + -51 Combine like terms: -5 + -51 = -56 9x = -56 Divide each side by '9'. x = -6.222222222 Simplifying x = -6.222222222
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