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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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