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Simplifying 2x + -9 = 6 + -1(2x + -5) Reorder the terms: -9 + 2x = 6 + -1(2x + -5) Reorder the terms: -9 + 2x = 6 + -1(-5 + 2x) -9 + 2x = 6 + (-5 * -1 + 2x * -1) -9 + 2x = 6 + (5 + -2x) Combine like terms: 6 + 5 = 11 -9 + 2x = 11 + -2x Solving -9 + 2x = 11 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 2x + 2x = 11 + -2x + 2x Combine like terms: 2x + 2x = 4x -9 + 4x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 4x = 11 + 0 -9 + 4x = 11 Add '9' to each side of the equation. -9 + 9 + 4x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 11 + 9 4x = 11 + 9 Combine like terms: 11 + 9 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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