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Simplifying 2(7 + x) + 7(x + 7) = 14(7x + 1) (7 * 2 + x * 2) + 7(x + 7) = 14(7x + 1) (14 + 2x) + 7(x + 7) = 14(7x + 1) Reorder the terms: 14 + 2x + 7(7 + x) = 14(7x + 1) 14 + 2x + (7 * 7 + x * 7) = 14(7x + 1) 14 + 2x + (49 + 7x) = 14(7x + 1) Reorder the terms: 14 + 49 + 2x + 7x = 14(7x + 1) Combine like terms: 14 + 49 = 63 63 + 2x + 7x = 14(7x + 1) Combine like terms: 2x + 7x = 9x 63 + 9x = 14(7x + 1) Reorder the terms: 63 + 9x = 14(1 + 7x) 63 + 9x = (1 * 14 + 7x * 14) 63 + 9x = (14 + 98x) Solving 63 + 9x = 14 + 98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98x' to each side of the equation. 63 + 9x + -98x = 14 + 98x + -98x Combine like terms: 9x + -98x = -89x 63 + -89x = 14 + 98x + -98x Combine like terms: 98x + -98x = 0 63 + -89x = 14 + 0 63 + -89x = 14 Add '-63' to each side of the equation. 63 + -63 + -89x = 14 + -63 Combine like terms: 63 + -63 = 0 0 + -89x = 14 + -63 -89x = 14 + -63 Combine like terms: 14 + -63 = -49 -89x = -49 Divide each side by '-89'. x = 0.5505617978 Simplifying x = 0.5505617978
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