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Simplifying 5(3x + -5) = 3(7x + 5) Reorder the terms: 5(-5 + 3x) = 3(7x + 5) (-5 * 5 + 3x * 5) = 3(7x + 5) (-25 + 15x) = 3(7x + 5) Reorder the terms: -25 + 15x = 3(5 + 7x) -25 + 15x = (5 * 3 + 7x * 3) -25 + 15x = (15 + 21x) Solving -25 + 15x = 15 + 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 + 15x + -21x = 15 + 21x + -21x Combine like terms: 15x + -21x = -6x -25 + -6x = 15 + 21x + -21x Combine like terms: 21x + -21x = 0 -25 + -6x = 15 + 0 -25 + -6x = 15 Add '25' to each side of the equation. -25 + 25 + -6x = 15 + 25 Combine like terms: -25 + 25 = 0 0 + -6x = 15 + 25 -6x = 15 + 25 Combine like terms: 15 + 25 = 40 -6x = 40 Divide each side by '-6'. x = -6.666666667 Simplifying x = -6.666666667
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