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Simplifying 3x + -5(x + 2) = 11 + (x + -9) Reorder the terms: 3x + -5(2 + x) = 11 + (x + -9) 3x + (2 * -5 + x * -5) = 11 + (x + -9) 3x + (-10 + -5x) = 11 + (x + -9) Reorder the terms: -10 + 3x + -5x = 11 + (x + -9) Combine like terms: 3x + -5x = -2x -10 + -2x = 11 + (x + -9) Reorder the terms: -10 + -2x = 11 + (-9 + x) Remove parenthesis around (-9 + x) -10 + -2x = 11 + -9 + x Combine like terms: 11 + -9 = 2 -10 + -2x = 2 + x Solving -10 + -2x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -2x + -1x = 2 + x + -1x Combine like terms: -2x + -1x = -3x -10 + -3x = 2 + x + -1x Combine like terms: x + -1x = 0 -10 + -3x = 2 + 0 -10 + -3x = 2 Add '10' to each side of the equation. -10 + 10 + -3x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 2 + 10 -3x = 2 + 10 Combine like terms: 2 + 10 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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