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Simplifying 7X + -2 = 5 + -2(X + -1) Reorder the terms: -2 + 7X = 5 + -2(X + -1) Reorder the terms: -2 + 7X = 5 + -2(-1 + X) -2 + 7X = 5 + (-1 * -2 + X * -2) -2 + 7X = 5 + (2 + -2X) Combine like terms: 5 + 2 = 7 -2 + 7X = 7 + -2X Solving -2 + 7X = 7 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. -2 + 7X + 2X = 7 + -2X + 2X Combine like terms: 7X + 2X = 9X -2 + 9X = 7 + -2X + 2X Combine like terms: -2X + 2X = 0 -2 + 9X = 7 + 0 -2 + 9X = 7 Add '2' to each side of the equation. -2 + 2 + 9X = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 9X = 7 + 2 9X = 7 + 2 Combine like terms: 7 + 2 = 9 9X = 9 Divide each side by '9'. X = 1 Simplifying X = 1
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