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Simplifying -100 = -6X + 5(4x + -6) Reorder the terms: -100 = -6X + 5(-6 + 4x) -100 = -6X + (-6 * 5 + 4x * 5) -100 = -6X + (-30 + 20x) Reorder the terms: -100 = -30 + -6X + 20x Solving -100 = -30 + -6X + 20x 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. -100 + 6X = -30 + -6X + 6X + 20x Combine like terms: -6X + 6X = 0 -100 + 6X = -30 + 0 + 20x -100 + 6X = -30 + 20x Add '100' to each side of the equation. -100 + 100 + 6X = -30 + 100 + 20x Combine like terms: -100 + 100 = 0 0 + 6X = -30 + 100 + 20x 6X = -30 + 100 + 20x Combine like terms: -30 + 100 = 70 6X = 70 + 20x Divide each side by '6'. X = 11.66666667 + 3.333333333x Simplifying X = 11.66666667 + 3.333333333x
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