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Simplifying 7(2x + 5) = -5(3x + 7) Reorder the terms: 7(5 + 2x) = -5(3x + 7) (5 * 7 + 2x * 7) = -5(3x + 7) (35 + 14x) = -5(3x + 7) Reorder the terms: 35 + 14x = -5(7 + 3x) 35 + 14x = (7 * -5 + 3x * -5) 35 + 14x = (-35 + -15x) Solving 35 + 14x = -35 + -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. 35 + 14x + 15x = -35 + -15x + 15x Combine like terms: 14x + 15x = 29x 35 + 29x = -35 + -15x + 15x Combine like terms: -15x + 15x = 0 35 + 29x = -35 + 0 35 + 29x = -35 Add '-35' to each side of the equation. 35 + -35 + 29x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 29x = -35 + -35 29x = -35 + -35 Combine like terms: -35 + -35 = -70 29x = -70 Divide each side by '29'. x = -2.413793103 Simplifying x = -2.413793103
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