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Simplifying 6(x + -4) + 3x = 12x + -8 Reorder the terms: 6(-4 + x) + 3x = 12x + -8 (-4 * 6 + x * 6) + 3x = 12x + -8 (-24 + 6x) + 3x = 12x + -8 Combine like terms: 6x + 3x = 9x -24 + 9x = 12x + -8 Reorder the terms: -24 + 9x = -8 + 12x Solving -24 + 9x = -8 + 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 + 9x + -12x = -8 + 12x + -12x Combine like terms: 9x + -12x = -3x -24 + -3x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -3x = -8 + 0 -24 + -3x = -8 Add '24' to each side of the equation. -24 + 24 + -3x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -8 + 24 -3x = -8 + 24 Combine like terms: -8 + 24 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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