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Simplifying 1n(10) + -1n(7 + -1x) = 1n(x) Reorder the terms for easier multiplication: 1 * 10n + -1n(7 + -1x) = 1n(x) Multiply 1 * 10 10n + -1n(7 + -1x) = 1n(x) 10n + (7 * -1n + -1x * -1n) = 1n(x) 10n + (-7n + 1nx) = 1n(x) Combine like terms: 10n + -7n = 3n 3n + 1nx = 1n(x) Multiply n * x 3n + 1nx = 1nx Add '-1nx' to each side of the equation. 3n + 1nx + -1nx = 1nx + -1nx Combine like terms: 1nx + -1nx = 0 3n + 0 = 1nx + -1nx 3n = 1nx + -1nx Combine like terms: 1nx + -1nx = 0 3n = 0 Solving 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '3'. n = 0 Simplifying n = 0
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