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Simplifying 5x + -11 = 20 + -1(x + -5) Reorder the terms: -11 + 5x = 20 + -1(x + -5) Reorder the terms: -11 + 5x = 20 + -1(-5 + x) -11 + 5x = 20 + (-5 * -1 + x * -1) -11 + 5x = 20 + (5 + -1x) Combine like terms: 20 + 5 = 25 -11 + 5x = 25 + -1x Solving -11 + 5x = 25 + -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. -11 + 5x + x = 25 + -1x + x Combine like terms: 5x + x = 6x -11 + 6x = 25 + -1x + x Combine like terms: -1x + x = 0 -11 + 6x = 25 + 0 -11 + 6x = 25 Add '11' to each side of the equation. -11 + 11 + 6x = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 25 + 11 6x = 25 + 11 Combine like terms: 25 + 11 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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