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Simplifying 4x + -2(3x + -1(x + 4)) = 5 + -2(X + 1) Reorder the terms: 4x + -2(3x + -1(4 + x)) = 5 + -2(X + 1) 4x + -2(3x + (4 * -1 + x * -1)) = 5 + -2(X + 1) 4x + -2(3x + (-4 + -1x)) = 5 + -2(X + 1) Reorder the terms: 4x + -2(-4 + 3x + -1x) = 5 + -2(X + 1) Combine like terms: 3x + -1x = 2x 4x + -2(-4 + 2x) = 5 + -2(X + 1) 4x + (-4 * -2 + 2x * -2) = 5 + -2(X + 1) 4x + (8 + -4x) = 5 + -2(X + 1) Reorder the terms: 8 + 4x + -4x = 5 + -2(X + 1) Combine like terms: 4x + -4x = 0 8 + 0 = 5 + -2(X + 1) 8 = 5 + -2(X + 1) Reorder the terms: 8 = 5 + -2(1 + X) 8 = 5 + (1 * -2 + X * -2) 8 = 5 + (-2 + -2X) Combine like terms: 5 + -2 = 3 8 = 3 + -2X Solving 8 = 3 + -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. 8 + 2X = 3 + -2X + 2X Combine like terms: -2X + 2X = 0 8 + 2X = 3 + 0 8 + 2X = 3 Add '-8' to each side of the equation. 8 + -8 + 2X = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 2X = 3 + -8 2X = 3 + -8 Combine like terms: 3 + -8 = -5 2X = -5 Divide each side by '2'. X = -2.5 Simplifying X = -2.5
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