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Simplifying 6(3x + -2) = 2(4x + -12) Reorder the terms: 6(-2 + 3x) = 2(4x + -12) (-2 * 6 + 3x * 6) = 2(4x + -12) (-12 + 18x) = 2(4x + -12) Reorder the terms: -12 + 18x = 2(-12 + 4x) -12 + 18x = (-12 * 2 + 4x * 2) -12 + 18x = (-24 + 8x) Solving -12 + 18x = -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. -12 + 18x + -8x = -24 + 8x + -8x Combine like terms: 18x + -8x = 10x -12 + 10x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 10x = -24 + 0 -12 + 10x = -24 Add '12' to each side of the equation. -12 + 12 + 10x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = -24 + 12 10x = -24 + 12 Combine like terms: -24 + 12 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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