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Simplifying 2(3X + -7) = 6(5X + -9) + 4 Reorder the terms: 2(-7 + 3X) = 6(5X + -9) + 4 (-7 * 2 + 3X * 2) = 6(5X + -9) + 4 (-14 + 6X) = 6(5X + -9) + 4 Reorder the terms: -14 + 6X = 6(-9 + 5X) + 4 -14 + 6X = (-9 * 6 + 5X * 6) + 4 -14 + 6X = (-54 + 30X) + 4 Reorder the terms: -14 + 6X = -54 + 4 + 30X Combine like terms: -54 + 4 = -50 -14 + 6X = -50 + 30X Solving -14 + 6X = -50 + 30X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30X' to each side of the equation. -14 + 6X + -30X = -50 + 30X + -30X Combine like terms: 6X + -30X = -24X -14 + -24X = -50 + 30X + -30X Combine like terms: 30X + -30X = 0 -14 + -24X = -50 + 0 -14 + -24X = -50 Add '14' to each side of the equation. -14 + 14 + -24X = -50 + 14 Combine like terms: -14 + 14 = 0 0 + -24X = -50 + 14 -24X = -50 + 14 Combine like terms: -50 + 14 = -36 -24X = -36 Divide each side by '-24'. X = 1.5 Simplifying X = 1.5
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