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Simplifying 0.5(4X + 20) = 6(X + 1) Reorder the terms: 0.5(20 + 4X) = 6(X + 1) (20 * 0.5 + 4X * 0.5) = 6(X + 1) (10 + 2X) = 6(X + 1) Reorder the terms: 10 + 2X = 6(1 + X) 10 + 2X = (1 * 6 + X * 6) 10 + 2X = (6 + 6X) Solving 10 + 2X = 6 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 10 + 2X + -6X = 6 + 6X + -6X Combine like terms: 2X + -6X = -4X 10 + -4X = 6 + 6X + -6X Combine like terms: 6X + -6X = 0 10 + -4X = 6 + 0 10 + -4X = 6 Add '-10' to each side of the equation. 10 + -10 + -4X = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4X = 6 + -10 -4X = 6 + -10 Combine like terms: 6 + -10 = -4 -4X = -4 Divide each side by '-4'. X = 1 Simplifying X = 1
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