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Simplifying 2(-4x + -6) + -4x = 6(-5x + -2) + -12 Reorder the terms: 2(-6 + -4x) + -4x = 6(-5x + -2) + -12 (-6 * 2 + -4x * 2) + -4x = 6(-5x + -2) + -12 (-12 + -8x) + -4x = 6(-5x + -2) + -12 Combine like terms: -8x + -4x = -12x -12 + -12x = 6(-5x + -2) + -12 Reorder the terms: -12 + -12x = 6(-2 + -5x) + -12 -12 + -12x = (-2 * 6 + -5x * 6) + -12 -12 + -12x = (-12 + -30x) + -12 Reorder the terms: -12 + -12x = -12 + -12 + -30x Combine like terms: -12 + -12 = -24 -12 + -12x = -24 + -30x Solving -12 + -12x = -24 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -12 + -12x + 30x = -24 + -30x + 30x Combine like terms: -12x + 30x = 18x -12 + 18x = -24 + -30x + 30x Combine like terms: -30x + 30x = 0 -12 + 18x = -24 + 0 -12 + 18x = -24 Add '12' to each side of the equation. -12 + 12 + 18x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = -24 + 12 18x = -24 + 12 Combine like terms: -24 + 12 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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