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Simplifying 2X + -4(X + 1) = 2X + 17 Reorder the terms: 2X + -4(1 + X) = 2X + 17 2X + (1 * -4 + X * -4) = 2X + 17 2X + (-4 + -4X) = 2X + 17 Reorder the terms: -4 + 2X + -4X = 2X + 17 Combine like terms: 2X + -4X = -2X -4 + -2X = 2X + 17 Reorder the terms: -4 + -2X = 17 + 2X Solving -4 + -2X = 17 + 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 + -2X + -2X = 17 + 2X + -2X Combine like terms: -2X + -2X = -4X -4 + -4X = 17 + 2X + -2X Combine like terms: 2X + -2X = 0 -4 + -4X = 17 + 0 -4 + -4X = 17 Add '4' to each side of the equation. -4 + 4 + -4X = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -4X = 17 + 4 -4X = 17 + 4 Combine like terms: 17 + 4 = 21 -4X = 21 Divide each side by '-4'. X = -5.25 Simplifying X = -5.25
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