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Simplifying 8x + -24 = 8x + 3(8 + 2x) Reorder the terms: -24 + 8x = 8x + 3(8 + 2x) -24 + 8x = 8x + (8 * 3 + 2x * 3) -24 + 8x = 8x + (24 + 6x) Reorder the terms: -24 + 8x = 24 + 8x + 6x Combine like terms: 8x + 6x = 14x -24 + 8x = 24 + 14x Solving -24 + 8x = 24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -24 + 8x + -14x = 24 + 14x + -14x Combine like terms: 8x + -14x = -6x -24 + -6x = 24 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + -6x = 24 + 0 -24 + -6x = 24 Add '24' to each side of the equation. -24 + 24 + -6x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 24 + 24 -6x = 24 + 24 Combine like terms: 24 + 24 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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