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Simplifying 7X + -4 = 2(3X + 5) + -6 Reorder the terms: -4 + 7X = 2(3X + 5) + -6 Reorder the terms: -4 + 7X = 2(5 + 3X) + -6 -4 + 7X = (5 * 2 + 3X * 2) + -6 -4 + 7X = (10 + 6X) + -6 Reorder the terms: -4 + 7X = 10 + -6 + 6X Combine like terms: 10 + -6 = 4 -4 + 7X = 4 + 6X Solving -4 + 7X = 4 + 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. -4 + 7X + -6X = 4 + 6X + -6X Combine like terms: 7X + -6X = 1X -4 + 1X = 4 + 6X + -6X Combine like terms: 6X + -6X = 0 -4 + 1X = 4 + 0 -4 + 1X = 4 Add '4' to each side of the equation. -4 + 4 + 1X = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1X = 4 + 4 1X = 4 + 4 Combine like terms: 4 + 4 = 8 1X = 8 Divide each side by '1'. X = 8 Simplifying X = 8
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