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Simplifying 12x + 6(4 + 5x) = -8(4 + -7x) 12x + (4 * 6 + 5x * 6) = -8(4 + -7x) 12x + (24 + 30x) = -8(4 + -7x) Reorder the terms: 24 + 12x + 30x = -8(4 + -7x) Combine like terms: 12x + 30x = 42x 24 + 42x = -8(4 + -7x) 24 + 42x = (4 * -8 + -7x * -8) 24 + 42x = (-32 + 56x) Solving 24 + 42x = -32 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 24 + 42x + -56x = -32 + 56x + -56x Combine like terms: 42x + -56x = -14x 24 + -14x = -32 + 56x + -56x Combine like terms: 56x + -56x = 0 24 + -14x = -32 + 0 24 + -14x = -32 Add '-24' to each side of the equation. 24 + -24 + -14x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = -32 + -24 -14x = -32 + -24 Combine like terms: -32 + -24 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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