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Simplifying 2(3x + -12) = 4(8x + 10) Reorder the terms: 2(-12 + 3x) = 4(8x + 10) (-12 * 2 + 3x * 2) = 4(8x + 10) (-24 + 6x) = 4(8x + 10) Reorder the terms: -24 + 6x = 4(10 + 8x) -24 + 6x = (10 * 4 + 8x * 4) -24 + 6x = (40 + 32x) Solving -24 + 6x = 40 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -24 + 6x + -32x = 40 + 32x + -32x Combine like terms: 6x + -32x = -26x -24 + -26x = 40 + 32x + -32x Combine like terms: 32x + -32x = 0 -24 + -26x = 40 + 0 -24 + -26x = 40 Add '24' to each side of the equation. -24 + 24 + -26x = 40 + 24 Combine like terms: -24 + 24 = 0 0 + -26x = 40 + 24 -26x = 40 + 24 Combine like terms: 40 + 24 = 64 -26x = 64 Divide each side by '-26'. x = -2.461538462 Simplifying x = -2.461538462
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