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Simplifying 7x + -1x + -24 = 2x + 8 Reorder the terms: -24 + 7x + -1x = 2x + 8 Combine like terms: 7x + -1x = 6x -24 + 6x = 2x + 8 Reorder the terms: -24 + 6x = 8 + 2x Solving -24 + 6x = 8 + 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 = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x -24 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = 8 + 0 -24 + 4x = 8 Add '24' to each side of the equation. -24 + 24 + 4x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 8 + 24 4x = 8 + 24 Combine like terms: 8 + 24 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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