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Simplifying 5 + -6X = 7(-1X + 10) Reorder the terms: 5 + -6X = 7(10 + -1X) 5 + -6X = (10 * 7 + -1X * 7) 5 + -6X = (70 + -7X) Solving 5 + -6X = 70 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. 5 + -6X + 7X = 70 + -7X + 7X Combine like terms: -6X + 7X = 1X 5 + 1X = 70 + -7X + 7X Combine like terms: -7X + 7X = 0 5 + 1X = 70 + 0 5 + 1X = 70 Add '-5' to each side of the equation. 5 + -5 + 1X = 70 + -5 Combine like terms: 5 + -5 = 0 0 + 1X = 70 + -5 1X = 70 + -5 Combine like terms: 70 + -5 = 65 1X = 65 Divide each side by '1'. X = 65 Simplifying X = 65
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