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Simplifying 7x + -3(1 + -1x) = x + -1(5x + -11) 7x + (1 * -3 + -1x * -3) = x + -1(5x + -11) 7x + (-3 + 3x) = x + -1(5x + -11) Reorder the terms: -3 + 7x + 3x = x + -1(5x + -11) Combine like terms: 7x + 3x = 10x -3 + 10x = x + -1(5x + -11) Reorder the terms: -3 + 10x = x + -1(-11 + 5x) -3 + 10x = x + (-11 * -1 + 5x * -1) -3 + 10x = x + (11 + -5x) Reorder the terms: -3 + 10x = 11 + x + -5x Combine like terms: x + -5x = -4x -3 + 10x = 11 + -4x Solving -3 + 10x = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 10x + 4x = 11 + -4x + 4x Combine like terms: 10x + 4x = 14x -3 + 14x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 14x = 11 + 0 -3 + 14x = 11 Add '3' to each side of the equation. -3 + 3 + 14x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 11 + 3 14x = 11 + 3 Combine like terms: 11 + 3 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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