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Simplifying 7X + 1 + -7(X + 1) = 5X + -4 Reorder the terms: 7X + 1 + -7(1 + X) = 5X + -4 7X + 1 + (1 * -7 + X * -7) = 5X + -4 7X + 1 + (-7 + -7X) = 5X + -4 Reorder the terms: 1 + -7 + 7X + -7X = 5X + -4 Combine like terms: 1 + -7 = -6 -6 + 7X + -7X = 5X + -4 Combine like terms: 7X + -7X = 0 -6 + 0 = 5X + -4 -6 = 5X + -4 Reorder the terms: -6 = -4 + 5X Solving -6 = -4 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -6 + -5X = -4 + 5X + -5X Combine like terms: 5X + -5X = 0 -6 + -5X = -4 + 0 -6 + -5X = -4 Add '6' to each side of the equation. -6 + 6 + -5X = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -5X = -4 + 6 -5X = -4 + 6 Combine like terms: -4 + 6 = 2 -5X = 2 Divide each side by '-5'. X = -0.4 Simplifying X = -0.4
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