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Simplifying 3e + -7x2 + 3x + -5e + -13 = 0 Reorder the terms: -13 + 3e + -5e + 3x + -7x2 = 0 Combine like terms: 3e + -5e = -2e -13 + -2e + 3x + -7x2 = 0 Solving -13 + -2e + 3x + -7x2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -2e + 3x + 13 + -7x2 = 0 + 13 Reorder the terms: -13 + 13 + -2e + 3x + -7x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2e + 3x + -7x2 = 0 + 13 -2e + 3x + -7x2 = 0 + 13 Combine like terms: 0 + 13 = 13 -2e + 3x + -7x2 = 13 Add '-3x' to each side of the equation. -2e + 3x + -3x + -7x2 = 13 + -3x Combine like terms: 3x + -3x = 0 -2e + 0 + -7x2 = 13 + -3x -2e + -7x2 = 13 + -3x Add '7x2' to each side of the equation. -2e + -7x2 + 7x2 = 13 + -3x + 7x2 Combine like terms: -7x2 + 7x2 = 0 -2e + 0 = 13 + -3x + 7x2 -2e = 13 + -3x + 7x2 Divide each side by '-2'. e = -6.5 + 1.5x + -3.5x2 Simplifying e = -6.5 + 1.5x + -3.5x2
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