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Simplifying 3(x + -9) + 2x = 7x + -11 Reorder the terms: 3(-9 + x) + 2x = 7x + -11 (-9 * 3 + x * 3) + 2x = 7x + -11 (-27 + 3x) + 2x = 7x + -11 Combine like terms: 3x + 2x = 5x -27 + 5x = 7x + -11 Reorder the terms: -27 + 5x = -11 + 7x Solving -27 + 5x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -27 + 5x + -7x = -11 + 7x + -7x Combine like terms: 5x + -7x = -2x -27 + -2x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + -2x = -11 + 0 -27 + -2x = -11 Add '27' to each side of the equation. -27 + 27 + -2x = -11 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -11 + 27 -2x = -11 + 27 Combine like terms: -11 + 27 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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