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Simplifying -4(2x + 6) = 4 + -10x Reorder the terms: -4(6 + 2x) = 4 + -10x (6 * -4 + 2x * -4) = 4 + -10x (-24 + -8x) = 4 + -10x Solving -24 + -8x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -24 + -8x + 10x = 4 + -10x + 10x Combine like terms: -8x + 10x = 2x -24 + 2x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 2x = 4 + 0 -24 + 2x = 4 Add '24' to each side of the equation. -24 + 24 + 2x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 4 + 24 2x = 4 + 24 Combine like terms: 4 + 24 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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