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Simplifying 12x + 3(x + -6) = 8x + -24 Reorder the terms: 12x + 3(-6 + x) = 8x + -24 12x + (-6 * 3 + x * 3) = 8x + -24 12x + (-18 + 3x) = 8x + -24 Reorder the terms: -18 + 12x + 3x = 8x + -24 Combine like terms: 12x + 3x = 15x -18 + 15x = 8x + -24 Reorder the terms: -18 + 15x = -24 + 8x Solving -18 + 15x = -24 + 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. -18 + 15x + -8x = -24 + 8x + -8x Combine like terms: 15x + -8x = 7x -18 + 7x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 7x = -24 + 0 -18 + 7x = -24 Add '18' to each side of the equation. -18 + 18 + 7x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -24 + 18 7x = -24 + 18 Combine like terms: -24 + 18 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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