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