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Simplifying 4(3X + -2) = 2(3X + 14) Reorder the terms: 4(-2 + 3X) = 2(3X + 14) (-2 * 4 + 3X * 4) = 2(3X + 14) (-8 + 12X) = 2(3X + 14) Reorder the terms: -8 + 12X = 2(14 + 3X) -8 + 12X = (14 * 2 + 3X * 2) -8 + 12X = (28 + 6X) Solving -8 + 12X = 28 + 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. -8 + 12X + -6X = 28 + 6X + -6X Combine like terms: 12X + -6X = 6X -8 + 6X = 28 + 6X + -6X Combine like terms: 6X + -6X = 0 -8 + 6X = 28 + 0 -8 + 6X = 28 Add '8' to each side of the equation. -8 + 8 + 6X = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 6X = 28 + 8 6X = 28 + 8 Combine like terms: 28 + 8 = 36 6X = 36 Divide each side by '6'. X = 6 Simplifying X = 6
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