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Simplifying 3(1 + -3x) = 3(-4x + 7) (1 * 3 + -3x * 3) = 3(-4x + 7) (3 + -9x) = 3(-4x + 7) Reorder the terms: 3 + -9x = 3(7 + -4x) 3 + -9x = (7 * 3 + -4x * 3) 3 + -9x = (21 + -12x) Solving 3 + -9x = 21 + -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. 3 + -9x + 12x = 21 + -12x + 12x Combine like terms: -9x + 12x = 3x 3 + 3x = 21 + -12x + 12x Combine like terms: -12x + 12x = 0 3 + 3x = 21 + 0 3 + 3x = 21 Add '-3' to each side of the equation. 3 + -3 + 3x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 21 + -3 3x = 21 + -3 Combine like terms: 21 + -3 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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