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Simplifying 3(7x + -1) = 5(3x + 3) Reorder the terms: 3(-1 + 7x) = 5(3x + 3) (-1 * 3 + 7x * 3) = 5(3x + 3) (-3 + 21x) = 5(3x + 3) Reorder the terms: -3 + 21x = 5(3 + 3x) -3 + 21x = (3 * 5 + 3x * 5) -3 + 21x = (15 + 15x) Solving -3 + 21x = 15 + 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. -3 + 21x + -15x = 15 + 15x + -15x Combine like terms: 21x + -15x = 6x -3 + 6x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + 6x = 15 + 0 -3 + 6x = 15 Add '3' to each side of the equation. -3 + 3 + 6x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 15 + 3 6x = 15 + 3 Combine like terms: 15 + 3 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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