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Simplifying 2(3x + 1) + 2(X) = 4(3X) Reorder the terms: 2(1 + 3x) + 2(X) = 4(3X) (1 * 2 + 3x * 2) + 2(X) = 4(3X) (2 + 6x) + 2(X) = 4(3X) Reorder the terms: 2 + 2X + 6x = 4(3X) Remove parenthesis around (3X) 2 + 2X + 6x = 4 * 3X Multiply 4 * 3 2 + 2X + 6x = 12X Solving 2 + 2X + 6x = 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 2 + 2X + -12X + 6x = 12X + -12X Combine like terms: 2X + -12X = -10X 2 + -10X + 6x = 12X + -12X Combine like terms: 12X + -12X = 0 2 + -10X + 6x = 0 Add '-2' to each side of the equation. 2 + -10X + -2 + 6x = 0 + -2 Reorder the terms: 2 + -2 + -10X + 6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -10X + 6x = 0 + -2 -10X + 6x = 0 + -2 Combine like terms: 0 + -2 = -2 -10X + 6x = -2 Add '-6x' to each side of the equation. -10X + 6x + -6x = -2 + -6x Combine like terms: 6x + -6x = 0 -10X + 0 = -2 + -6x -10X = -2 + -6x Divide each side by '-10'. X = 0.2 + 0.6x Simplifying X = 0.2 + 0.6x
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