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Simplifying 5x + -1(x + -11) = 21 + -6x Reorder the terms: 5x + -1(-11 + x) = 21 + -6x 5x + (-11 * -1 + x * -1) = 21 + -6x 5x + (11 + -1x) = 21 + -6x Reorder the terms: 11 + 5x + -1x = 21 + -6x Combine like terms: 5x + -1x = 4x 11 + 4x = 21 + -6x Solving 11 + 4x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 11 + 4x + 6x = 21 + -6x + 6x Combine like terms: 4x + 6x = 10x 11 + 10x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + 10x = 21 + 0 11 + 10x = 21 Add '-11' to each side of the equation. 11 + -11 + 10x = 21 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 21 + -11 10x = 21 + -11 Combine like terms: 21 + -11 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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