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Simplifying 6(x + -4) = 48 + -2x Reorder the terms: 6(-4 + x) = 48 + -2x (-4 * 6 + x * 6) = 48 + -2x (-24 + 6x) = 48 + -2x Solving -24 + 6x = 48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + 6x + 2x = 48 + -2x + 2x Combine like terms: 6x + 2x = 8x -24 + 8x = 48 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 8x = 48 + 0 -24 + 8x = 48 Add '24' to each side of the equation. -24 + 24 + 8x = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 48 + 24 8x = 48 + 24 Combine like terms: 48 + 24 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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