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Simplifying 6(5X + -2) = 2(5 + 4X) Reorder the terms: 6(-2 + 5X) = 2(5 + 4X) (-2 * 6 + 5X * 6) = 2(5 + 4X) (-12 + 30X) = 2(5 + 4X) -12 + 30X = (5 * 2 + 4X * 2) -12 + 30X = (10 + 8X) Solving -12 + 30X = 10 + 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 + 30X + -8X = 10 + 8X + -8X Combine like terms: 30X + -8X = 22X -12 + 22X = 10 + 8X + -8X Combine like terms: 8X + -8X = 0 -12 + 22X = 10 + 0 -12 + 22X = 10 Add '12' to each side of the equation. -12 + 12 + 22X = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 22X = 10 + 12 22X = 10 + 12 Combine like terms: 10 + 12 = 22 22X = 22 Divide each side by '22'. X = 1 Simplifying X = 1
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