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Simplifying 7(7 + 2x) = 5(4 + -3x) (7 * 7 + 2x * 7) = 5(4 + -3x) (49 + 14x) = 5(4 + -3x) 49 + 14x = (4 * 5 + -3x * 5) 49 + 14x = (20 + -15x) Solving 49 + 14x = 20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 49 + 14x + 15x = 20 + -15x + 15x Combine like terms: 14x + 15x = 29x 49 + 29x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 49 + 29x = 20 + 0 49 + 29x = 20 Add '-49' to each side of the equation. 49 + -49 + 29x = 20 + -49 Combine like terms: 49 + -49 = 0 0 + 29x = 20 + -49 29x = 20 + -49 Combine like terms: 20 + -49 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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