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Simplifying 3(3x + -11) + 7 = 2(3x + -199) + -1x Reorder the terms: 3(-11 + 3x) + 7 = 2(3x + -199) + -1x (-11 * 3 + 3x * 3) + 7 = 2(3x + -199) + -1x (-33 + 9x) + 7 = 2(3x + -199) + -1x Reorder the terms: -33 + 7 + 9x = 2(3x + -199) + -1x Combine like terms: -33 + 7 = -26 -26 + 9x = 2(3x + -199) + -1x Reorder the terms: -26 + 9x = 2(-199 + 3x) + -1x -26 + 9x = (-199 * 2 + 3x * 2) + -1x -26 + 9x = (-398 + 6x) + -1x Combine like terms: 6x + -1x = 5x -26 + 9x = -398 + 5x Solving -26 + 9x = -398 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -26 + 9x + -5x = -398 + 5x + -5x Combine like terms: 9x + -5x = 4x -26 + 4x = -398 + 5x + -5x Combine like terms: 5x + -5x = 0 -26 + 4x = -398 + 0 -26 + 4x = -398 Add '26' to each side of the equation. -26 + 26 + 4x = -398 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = -398 + 26 4x = -398 + 26 Combine like terms: -398 + 26 = -372 4x = -372 Divide each side by '4'. x = -93 Simplifying x = -93
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