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Simplifying 1 + -1(4x + 5) = 11 + -7x Reorder the terms: 1 + -1(5 + 4x) = 11 + -7x 1 + (5 * -1 + 4x * -1) = 11 + -7x 1 + (-5 + -4x) = 11 + -7x Combine like terms: 1 + -5 = -4 -4 + -4x = 11 + -7x Solving -4 + -4x = 11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + -4x + 7x = 11 + -7x + 7x Combine like terms: -4x + 7x = 3x -4 + 3x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 3x = 11 + 0 -4 + 3x = 11 Add '4' to each side of the equation. -4 + 4 + 3x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 11 + 4 3x = 11 + 4 Combine like terms: 11 + 4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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