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Simplifying 1 + 4(X + -8) = 6 + -4(X + -2) Reorder the terms: 1 + 4(-8 + X) = 6 + -4(X + -2) 1 + (-8 * 4 + X * 4) = 6 + -4(X + -2) 1 + (-32 + 4X) = 6 + -4(X + -2) Combine like terms: 1 + -32 = -31 -31 + 4X = 6 + -4(X + -2) Reorder the terms: -31 + 4X = 6 + -4(-2 + X) -31 + 4X = 6 + (-2 * -4 + X * -4) -31 + 4X = 6 + (8 + -4X) Combine like terms: 6 + 8 = 14 -31 + 4X = 14 + -4X Solving -31 + 4X = 14 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -31 + 4X + 4X = 14 + -4X + 4X Combine like terms: 4X + 4X = 8X -31 + 8X = 14 + -4X + 4X Combine like terms: -4X + 4X = 0 -31 + 8X = 14 + 0 -31 + 8X = 14 Add '31' to each side of the equation. -31 + 31 + 8X = 14 + 31 Combine like terms: -31 + 31 = 0 0 + 8X = 14 + 31 8X = 14 + 31 Combine like terms: 14 + 31 = 45 8X = 45 Divide each side by '8'. X = 5.625 Simplifying X = 5.625
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