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Simplifying 2(-5 + x) = -1(-11 + x) (-5 * 2 + x * 2) = -1(-11 + x) (-10 + 2x) = -1(-11 + x) -10 + 2x = (-11 * -1 + x * -1) -10 + 2x = (11 + -1x) Solving -10 + 2x = 11 + -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. -10 + 2x + x = 11 + -1x + x Combine like terms: 2x + x = 3x -10 + 3x = 11 + -1x + x Combine like terms: -1x + x = 0 -10 + 3x = 11 + 0 -10 + 3x = 11 Add '10' to each side of the equation. -10 + 10 + 3x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 11 + 10 3x = 11 + 10 Combine like terms: 11 + 10 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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