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Simplifying (3(7x + 20) + -4) * 2 = (6x + -3) * 2 Reorder the terms: (3(20 + 7x) + -4) * 2 = (6x + -3) * 2 ((20 * 3 + 7x * 3) + -4) * 2 = (6x + -3) * 2 ((60 + 21x) + -4) * 2 = (6x + -3) * 2 Reorder the terms: (60 + -4 + 21x) * 2 = (6x + -3) * 2 Combine like terms: 60 + -4 = 56 (56 + 21x) * 2 = (6x + -3) * 2 Reorder the terms for easier multiplication: 2(56 + 21x) = (6x + -3) * 2 (56 * 2 + 21x * 2) = (6x + -3) * 2 (112 + 42x) = (6x + -3) * 2 Reorder the terms: 112 + 42x = (-3 + 6x) * 2 Reorder the terms for easier multiplication: 112 + 42x = 2(-3 + 6x) 112 + 42x = (-3 * 2 + 6x * 2) 112 + 42x = (-6 + 12x) Solving 112 + 42x = -6 + 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. 112 + 42x + -12x = -6 + 12x + -12x Combine like terms: 42x + -12x = 30x 112 + 30x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 112 + 30x = -6 + 0 112 + 30x = -6 Add '-112' to each side of the equation. 112 + -112 + 30x = -6 + -112 Combine like terms: 112 + -112 = 0 0 + 30x = -6 + -112 30x = -6 + -112 Combine like terms: -6 + -112 = -118 30x = -118 Divide each side by '30'. x = -3.933333333 Simplifying x = -3.933333333
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