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Simplifying 3(2x + 7) = 4(5 + -3x) Reorder the terms: 3(7 + 2x) = 4(5 + -3x) (7 * 3 + 2x * 3) = 4(5 + -3x) (21 + 6x) = 4(5 + -3x) 21 + 6x = (5 * 4 + -3x * 4) 21 + 6x = (20 + -12x) Solving 21 + 6x = 20 + -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 + 6x + 12x = 20 + -12x + 12x Combine like terms: 6x + 12x = 18x 21 + 18x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + 18x = 20 + 0 21 + 18x = 20 Add '-21' to each side of the equation. 21 + -21 + 18x = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 18x = 20 + -21 18x = 20 + -21 Combine like terms: 20 + -21 = -1 18x = -1 Divide each side by '18'. x = -0.05555555556 Simplifying x = -0.05555555556
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