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Simplifying 4(x + -6) = 46 + -6x Reorder the terms: 4(-6 + x) = 46 + -6x (-6 * 4 + x * 4) = 46 + -6x (-24 + 4x) = 46 + -6x Solving -24 + 4x = 46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 4x + 6x = 46 + -6x + 6x Combine like terms: 4x + 6x = 10x -24 + 10x = 46 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 10x = 46 + 0 -24 + 10x = 46 Add '24' to each side of the equation. -24 + 24 + 10x = 46 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 46 + 24 10x = 46 + 24 Combine like terms: 46 + 24 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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