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Simplifying 5(x + 4) + -2(X + 1) = 1 Reorder the terms: 5(4 + x) + -2(X + 1) = 1 (4 * 5 + x * 5) + -2(X + 1) = 1 (20 + 5x) + -2(X + 1) = 1 Reorder the terms: 20 + 5x + -2(1 + X) = 1 20 + 5x + (1 * -2 + X * -2) = 1 20 + 5x + (-2 + -2X) = 1 Reorder the terms: 20 + -2 + -2X + 5x = 1 Combine like terms: 20 + -2 = 18 18 + -2X + 5x = 1 Solving 18 + -2X + 5x = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -2X + -18 + 5x = 1 + -18 Reorder the terms: 18 + -18 + -2X + 5x = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -2X + 5x = 1 + -18 -2X + 5x = 1 + -18 Combine like terms: 1 + -18 = -17 -2X + 5x = -17 Add '-5x' to each side of the equation. -2X + 5x + -5x = -17 + -5x Combine like terms: 5x + -5x = 0 -2X + 0 = -17 + -5x -2X = -17 + -5x Divide each side by '-2'. X = 8.5 + 2.5x Simplifying X = 8.5 + 2.5x
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