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Simplifying 7(2x + 7) = 35 + 2(8x + 2) Reorder the terms: 7(7 + 2x) = 35 + 2(8x + 2) (7 * 7 + 2x * 7) = 35 + 2(8x + 2) (49 + 14x) = 35 + 2(8x + 2) Reorder the terms: 49 + 14x = 35 + 2(2 + 8x) 49 + 14x = 35 + (2 * 2 + 8x * 2) 49 + 14x = 35 + (4 + 16x) Combine like terms: 35 + 4 = 39 49 + 14x = 39 + 16x Solving 49 + 14x = 39 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 49 + 14x + -16x = 39 + 16x + -16x Combine like terms: 14x + -16x = -2x 49 + -2x = 39 + 16x + -16x Combine like terms: 16x + -16x = 0 49 + -2x = 39 + 0 49 + -2x = 39 Add '-49' to each side of the equation. 49 + -49 + -2x = 39 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 39 + -49 -2x = 39 + -49 Combine like terms: 39 + -49 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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