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Simplifying 2(2x + 1) + -2(X + -4) = 21 Reorder the terms: 2(1 + 2x) + -2(X + -4) = 21 (1 * 2 + 2x * 2) + -2(X + -4) = 21 (2 + 4x) + -2(X + -4) = 21 Reorder the terms: 2 + 4x + -2(-4 + X) = 21 2 + 4x + (-4 * -2 + X * -2) = 21 2 + 4x + (8 + -2X) = 21 Reorder the terms: 2 + 8 + -2X + 4x = 21 Combine like terms: 2 + 8 = 10 10 + -2X + 4x = 21 Solving 10 + -2X + 4x = 21 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2X + -10 + 4x = 21 + -10 Reorder the terms: 10 + -10 + -2X + 4x = 21 + -10 Combine like terms: 10 + -10 = 0 0 + -2X + 4x = 21 + -10 -2X + 4x = 21 + -10 Combine like terms: 21 + -10 = 11 -2X + 4x = 11 Add '-4x' to each side of the equation. -2X + 4x + -4x = 11 + -4x Combine like terms: 4x + -4x = 0 -2X + 0 = 11 + -4x -2X = 11 + -4x Divide each side by '-2'. X = -5.5 + 2x Simplifying X = -5.5 + 2x
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