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Simplifying 4(x + -1E) + 6 = 42 Reorder the terms: 4(-1E + x) + 6 = 42 (-1E * 4 + x * 4) + 6 = 42 (-4E + 4x) + 6 = 42 Reorder the terms: 6 + -4E + 4x = 42 Solving 6 + -4E + 4x = 42 Solving for variable 'E'. Move all terms containing E to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4E + -6 + 4x = 42 + -6 Reorder the terms: 6 + -6 + -4E + 4x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + -4E + 4x = 42 + -6 -4E + 4x = 42 + -6 Combine like terms: 42 + -6 = 36 -4E + 4x = 36 Add '-4x' to each side of the equation. -4E + 4x + -4x = 36 + -4x Combine like terms: 4x + -4x = 0 -4E + 0 = 36 + -4x -4E = 36 + -4x Divide each side by '-4'. E = -9 + x Simplifying E = -9 + x
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