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Simplifying n * 2x + (n + 1) * x = 100 Reorder the terms for easier multiplication: 2n * x + (n + 1) * x = 100 Multiply n * x 2nx + (n + 1) * x = 100 Reorder the terms: 2nx + (1 + n) * x = 100 Reorder the terms for easier multiplication: 2nx + x(1 + n) = 100 2nx + (1 * x + n * x) = 100 Reorder the terms: 2nx + (nx + 1x) = 100 2nx + (nx + 1x) = 100 Combine like terms: 2nx + nx = 3nx 3nx + 1x = 100 Solving 3nx + 1x = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1x' to each side of the equation. 3nx + 1x + -1x = 100 + -1x Combine like terms: 1x + -1x = 0 3nx + 0 = 100 + -1x 3nx = 100 + -1x Divide each side by '3x'. n = 33.33333333x-1 + -0.3333333333 Simplifying n = 33.33333333x-1 + -0.3333333333 Reorder the terms: n = -0.3333333333 + 33.33333333x-1
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