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Simplifying 6[2 + -1(4 + 6X)] + -4 = 14 + 2(1 + -20X) 6[2 + (4 * -1 + 6X * -1)] + -4 = 14 + 2(1 + -20X) 6[2 + (-4 + -6X)] + -4 = 14 + 2(1 + -20X) Combine like terms: 2 + -4 = -2 6[-2 + -6X] + -4 = 14 + 2(1 + -20X) [-2 * 6 + -6X * 6] + -4 = 14 + 2(1 + -20X) [-12 + -36X] + -4 = 14 + 2(1 + -20X) Reorder the terms: -12 + -4 + -36X = 14 + 2(1 + -20X) Combine like terms: -12 + -4 = -16 -16 + -36X = 14 + 2(1 + -20X) -16 + -36X = 14 + (1 * 2 + -20X * 2) -16 + -36X = 14 + (2 + -40X) Combine like terms: 14 + 2 = 16 -16 + -36X = 16 + -40X Solving -16 + -36X = 16 + -40X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '40X' to each side of the equation. -16 + -36X + 40X = 16 + -40X + 40X Combine like terms: -36X + 40X = 4X -16 + 4X = 16 + -40X + 40X Combine like terms: -40X + 40X = 0 -16 + 4X = 16 + 0 -16 + 4X = 16 Add '16' to each side of the equation. -16 + 16 + 4X = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 4X = 16 + 16 4X = 16 + 16 Combine like terms: 16 + 16 = 32 4X = 32 Divide each side by '4'. X = 8 Simplifying X = 8
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