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Simplifying 5(3x + -3) = 3(7x + -1) Reorder the terms: 5(-3 + 3x) = 3(7x + -1) (-3 * 5 + 3x * 5) = 3(7x + -1) (-15 + 15x) = 3(7x + -1) Reorder the terms: -15 + 15x = 3(-1 + 7x) -15 + 15x = (-1 * 3 + 7x * 3) -15 + 15x = (-3 + 21x) Solving -15 + 15x = -3 + 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 + 15x + -21x = -3 + 21x + -21x Combine like terms: 15x + -21x = -6x -15 + -6x = -3 + 21x + -21x Combine like terms: 21x + -21x = 0 -15 + -6x = -3 + 0 -15 + -6x = -3 Add '15' to each side of the equation. -15 + 15 + -6x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -3 + 15 -6x = -3 + 15 Combine like terms: -3 + 15 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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