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Simplifying 6(2x + 1) + 2(6 + -5X) = 54 Reorder the terms: 6(1 + 2x) + 2(6 + -5X) = 54 (1 * 6 + 2x * 6) + 2(6 + -5X) = 54 (6 + 12x) + 2(6 + -5X) = 54 6 + 12x + (6 * 2 + -5X * 2) = 54 6 + 12x + (12 + -10X) = 54 Reorder the terms: 6 + 12 + -10X + 12x = 54 Combine like terms: 6 + 12 = 18 18 + -10X + 12x = 54 Solving 18 + -10X + 12x = 54 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 + -10X + -18 + 12x = 54 + -18 Reorder the terms: 18 + -18 + -10X + 12x = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -10X + 12x = 54 + -18 -10X + 12x = 54 + -18 Combine like terms: 54 + -18 = 36 -10X + 12x = 36 Add '-12x' to each side of the equation. -10X + 12x + -12x = 36 + -12x Combine like terms: 12x + -12x = 0 -10X + 0 = 36 + -12x -10X = 36 + -12x Divide each side by '-10'. X = -3.6 + 1.2x Simplifying X = -3.6 + 1.2x
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