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Simplifying 3(7 + -3x) = 3x + -5(3x + -1) (7 * 3 + -3x * 3) = 3x + -5(3x + -1) (21 + -9x) = 3x + -5(3x + -1) Reorder the terms: 21 + -9x = 3x + -5(-1 + 3x) 21 + -9x = 3x + (-1 * -5 + 3x * -5) 21 + -9x = 3x + (5 + -15x) Reorder the terms: 21 + -9x = 5 + 3x + -15x Combine like terms: 3x + -15x = -12x 21 + -9x = 5 + -12x Solving 21 + -9x = 5 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 21 + -9x + 12x = 5 + -12x + 12x Combine like terms: -9x + 12x = 3x 21 + 3x = 5 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + 3x = 5 + 0 21 + 3x = 5 Add '-21' to each side of the equation. 21 + -21 + 3x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 5 + -21 3x = 5 + -21 Combine like terms: 5 + -21 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333
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