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Simplifying 5x + -1(x + -1) = 11 + -1(x + 1) Reorder the terms: 5x + -1(-1 + x) = 11 + -1(x + 1) 5x + (-1 * -1 + x * -1) = 11 + -1(x + 1) 5x + (1 + -1x) = 11 + -1(x + 1) Reorder the terms: 1 + 5x + -1x = 11 + -1(x + 1) Combine like terms: 5x + -1x = 4x 1 + 4x = 11 + -1(x + 1) Reorder the terms: 1 + 4x = 11 + -1(1 + x) 1 + 4x = 11 + (1 * -1 + x * -1) 1 + 4x = 11 + (-1 + -1x) Combine like terms: 11 + -1 = 10 1 + 4x = 10 + -1x Solving 1 + 4x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 4x + x = 10 + -1x + x Combine like terms: 4x + x = 5x 1 + 5x = 10 + -1x + x Combine like terms: -1x + x = 0 1 + 5x = 10 + 0 1 + 5x = 10 Add '-1' to each side of the equation. 1 + -1 + 5x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 10 + -1 5x = 10 + -1 Combine like terms: 10 + -1 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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