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Simplifying 3(4x + -8) = 1.2(35x + 30) Reorder the terms: 3(-8 + 4x) = 1.2(35x + 30) (-8 * 3 + 4x * 3) = 1.2(35x + 30) (-24 + 12x) = 1.2(35x + 30) Reorder the terms: -24 + 12x = 1.2(30 + 35x) -24 + 12x = (30 * 1.2 + 35x * 1.2) -24 + 12x = (36 + 42x) Solving -24 + 12x = 36 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -24 + 12x + -42x = 36 + 42x + -42x Combine like terms: 12x + -42x = -30x -24 + -30x = 36 + 42x + -42x Combine like terms: 42x + -42x = 0 -24 + -30x = 36 + 0 -24 + -30x = 36 Add '24' to each side of the equation. -24 + 24 + -30x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + -30x = 36 + 24 -30x = 36 + 24 Combine like terms: 36 + 24 = 60 -30x = 60 Divide each side by '-30'. x = -2 Simplifying x = -2
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