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Simplifying -2(3x + 5) = 3(5x + -1) Reorder the terms: -2(5 + 3x) = 3(5x + -1) (5 * -2 + 3x * -2) = 3(5x + -1) (-10 + -6x) = 3(5x + -1) Reorder the terms: -10 + -6x = 3(-1 + 5x) -10 + -6x = (-1 * 3 + 5x * 3) -10 + -6x = (-3 + 15x) Solving -10 + -6x = -3 + 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. -10 + -6x + -15x = -3 + 15x + -15x Combine like terms: -6x + -15x = -21x -10 + -21x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -21x = -3 + 0 -10 + -21x = -3 Add '10' to each side of the equation. -10 + 10 + -21x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -21x = -3 + 10 -21x = -3 + 10 Combine like terms: -3 + 10 = 7 -21x = 7 Divide each side by '-21'. x = -0.3333333333 Simplifying x = -0.3333333333
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