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Simplifying 2x + 9(x + 7) = 2(x + 9) Reorder the terms: 2x + 9(7 + x) = 2(x + 9) 2x + (7 * 9 + x * 9) = 2(x + 9) 2x + (63 + 9x) = 2(x + 9) Reorder the terms: 63 + 2x + 9x = 2(x + 9) Combine like terms: 2x + 9x = 11x 63 + 11x = 2(x + 9) Reorder the terms: 63 + 11x = 2(9 + x) 63 + 11x = (9 * 2 + x * 2) 63 + 11x = (18 + 2x) Solving 63 + 11x = 18 + 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. 63 + 11x + -2x = 18 + 2x + -2x Combine like terms: 11x + -2x = 9x 63 + 9x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + 9x = 18 + 0 63 + 9x = 18 Add '-63' to each side of the equation. 63 + -63 + 9x = 18 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = 18 + -63 9x = 18 + -63 Combine like terms: 18 + -63 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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