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Simplifying 6(x + -4) = 1 + -4x Reorder the terms: 6(-4 + x) = 1 + -4x (-4 * 6 + x * 6) = 1 + -4x (-24 + 6x) = 1 + -4x Solving -24 + 6x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -24 + 6x + 4x = 1 + -4x + 4x Combine like terms: 6x + 4x = 10x -24 + 10x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 10x = 1 + 0 -24 + 10x = 1 Add '24' to each side of the equation. -24 + 24 + 10x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 1 + 24 10x = 1 + 24 Combine like terms: 1 + 24 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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