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Simplifying X(x + 1) + -31 = 5[x + (x + 1)] Reorder the terms: X(1 + x) + -31 = 5[x + (x + 1)] (1 * X + x * X) + -31 = 5[x + (x + 1)] (1X + xX) + -31 = 5[x + (x + 1)] Reorder the terms: -31 + 1X + xX = 5[x + (x + 1)] Reorder the terms: -31 + 1X + xX = 5[x + (1 + x)] Remove parenthesis around (1 + x) -31 + 1X + xX = 5[x + 1 + x] Reorder the terms: -31 + 1X + xX = 5[1 + x + x] Combine like terms: x + x = 2x -31 + 1X + xX = 5[1 + 2x] -31 + 1X + xX = [1 * 5 + 2x * 5] -31 + 1X + xX = [5 + 10x] Solving -31 + 1X + xX = 5 + 10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 1X + 31 + xX = 5 + 31 + 10x Reorder the terms: -31 + 31 + 1X + xX = 5 + 31 + 10x Combine like terms: -31 + 31 = 0 0 + 1X + xX = 5 + 31 + 10x 1X + xX = 5 + 31 + 10x Combine like terms: 5 + 31 = 36 1X + xX = 36 + 10x Reorder the terms: -36 + 1X + -10x + xX = 36 + 10x + -36 + -10x Reorder the terms: -36 + 1X + -10x + xX = 36 + -36 + 10x + -10x Combine like terms: 36 + -36 = 0 -36 + 1X + -10x + xX = 0 + 10x + -10x -36 + 1X + -10x + xX = 10x + -10x Combine like terms: 10x + -10x = 0 -36 + 1X + -10x + xX = 0 The solution to this equation could not be determined.
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