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Simplifying 5(2x + 5) = 7(3x + -8) Reorder the terms: 5(5 + 2x) = 7(3x + -8) (5 * 5 + 2x * 5) = 7(3x + -8) (25 + 10x) = 7(3x + -8) Reorder the terms: 25 + 10x = 7(-8 + 3x) 25 + 10x = (-8 * 7 + 3x * 7) 25 + 10x = (-56 + 21x) Solving 25 + 10x = -56 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 25 + 10x + -21x = -56 + 21x + -21x Combine like terms: 10x + -21x = -11x 25 + -11x = -56 + 21x + -21x Combine like terms: 21x + -21x = 0 25 + -11x = -56 + 0 25 + -11x = -56 Add '-25' to each side of the equation. 25 + -25 + -11x = -56 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = -56 + -25 -11x = -56 + -25 Combine like terms: -56 + -25 = -81 -11x = -81 Divide each side by '-11'. x = 7.363636364 Simplifying x = 7.363636364
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