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Simplifying 6x + -8 = -2(x + 4) + -24 Reorder the terms: -8 + 6x = -2(x + 4) + -24 Reorder the terms: -8 + 6x = -2(4 + x) + -24 -8 + 6x = (4 * -2 + x * -2) + -24 -8 + 6x = (-8 + -2x) + -24 Reorder the terms: -8 + 6x = -8 + -24 + -2x Combine like terms: -8 + -24 = -32 -8 + 6x = -32 + -2x Solving -8 + 6x = -32 + -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. -8 + 6x + 2x = -32 + -2x + 2x Combine like terms: 6x + 2x = 8x -8 + 8x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 8x = -32 + 0 -8 + 8x = -32 Add '8' to each side of the equation. -8 + 8 + 8x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -32 + 8 8x = -32 + 8 Combine like terms: -32 + 8 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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