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Simplifying 5(2x + 3) = 7(3x + -1) Reorder the terms: 5(3 + 2x) = 7(3x + -1) (3 * 5 + 2x * 5) = 7(3x + -1) (15 + 10x) = 7(3x + -1) Reorder the terms: 15 + 10x = 7(-1 + 3x) 15 + 10x = (-1 * 7 + 3x * 7) 15 + 10x = (-7 + 21x) Solving 15 + 10x = -7 + 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. 15 + 10x + -21x = -7 + 21x + -21x Combine like terms: 10x + -21x = -11x 15 + -11x = -7 + 21x + -21x Combine like terms: 21x + -21x = 0 15 + -11x = -7 + 0 15 + -11x = -7 Add '-15' to each side of the equation. 15 + -15 + -11x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = -7 + -15 -11x = -7 + -15 Combine like terms: -7 + -15 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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