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Simplifying 12x + 3(x + -8) = 8x + -24 Reorder the terms: 12x + 3(-8 + x) = 8x + -24 12x + (-8 * 3 + x * 3) = 8x + -24 12x + (-24 + 3x) = 8x + -24 Reorder the terms: -24 + 12x + 3x = 8x + -24 Combine like terms: 12x + 3x = 15x -24 + 15x = 8x + -24 Reorder the terms: -24 + 15x = -24 + 8x Add '24' to each side of the equation. -24 + 24 + 15x = -24 + 24 + 8x Combine like terms: -24 + 24 = 0 0 + 15x = -24 + 24 + 8x 15x = -24 + 24 + 8x Combine like terms: -24 + 24 = 0 15x = 0 + 8x 15x = 8x Solving 15x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15x + -8x = 8x + -8x Combine like terms: 15x + -8x = 7x 7x = 8x + -8x Combine like terms: 8x + -8x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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