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Simplifying n(2x + 5) + -1x = 7(x + -4) + 48 Reorder the terms: n(5 + 2x) + -1x = 7(x + -4) + 48 (5 * n + 2x * n) + -1x = 7(x + -4) + 48 (5n + 2nx) + -1x = 7(x + -4) + 48 Reorder the terms: 5n + 2nx + -1x = 7(-4 + x) + 48 5n + 2nx + -1x = (-4 * 7 + x * 7) + 48 5n + 2nx + -1x = (-28 + 7x) + 48 Reorder the terms: 5n + 2nx + -1x = -28 + 48 + 7x Combine like terms: -28 + 48 = 20 5n + 2nx + -1x = 20 + 7x Solving 5n + 2nx + -1x = 20 + 7x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'x' to each side of the equation. 5n + 2nx + -1x + x = 20 + 7x + x Combine like terms: -1x + x = 0 5n + 2nx + 0 = 20 + 7x + x 5n + 2nx = 20 + 7x + x Combine like terms: 7x + x = 8x 5n + 2nx = 20 + 8x Reorder the terms: -20 + 5n + 2nx + -8x = 20 + 8x + -20 + -8x Reorder the terms: -20 + 5n + 2nx + -8x = 20 + -20 + 8x + -8x Combine like terms: 20 + -20 = 0 -20 + 5n + 2nx + -8x = 0 + 8x + -8x -20 + 5n + 2nx + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 5n + 2nx + -8x = 0 The solution to this equation could not be determined.
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