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Simplifying 2x + 4(8x + -6) = 12x + 2 Reorder the terms: 2x + 4(-6 + 8x) = 12x + 2 2x + (-6 * 4 + 8x * 4) = 12x + 2 2x + (-24 + 32x) = 12x + 2 Reorder the terms: -24 + 2x + 32x = 12x + 2 Combine like terms: 2x + 32x = 34x -24 + 34x = 12x + 2 Reorder the terms: -24 + 34x = 2 + 12x Solving -24 + 34x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 34x + -12x = 2 + 12x + -12x Combine like terms: 34x + -12x = 22x -24 + 22x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 22x = 2 + 0 -24 + 22x = 2 Add '24' to each side of the equation. -24 + 24 + 22x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 22x = 2 + 24 22x = 2 + 24 Combine like terms: 2 + 24 = 26 22x = 26 Divide each side by '22'. x = 1.181818182 Simplifying x = 1.181818182
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