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Simplifying -11x + 10x + -33 = x + 2x + 100 Reorder the terms: -33 + -11x + 10x = x + 2x + 100 Combine like terms: -11x + 10x = -1x -33 + -1x = x + 2x + 100 Reorder the terms: -33 + -1x = 100 + x + 2x Combine like terms: x + 2x = 3x -33 + -1x = 100 + 3x Solving -33 + -1x = 100 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -33 + -1x + -3x = 100 + 3x + -3x Combine like terms: -1x + -3x = -4x -33 + -4x = 100 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + -4x = 100 + 0 -33 + -4x = 100 Add '33' to each side of the equation. -33 + 33 + -4x = 100 + 33 Combine like terms: -33 + 33 = 0 0 + -4x = 100 + 33 -4x = 100 + 33 Combine like terms: 100 + 33 = 133 -4x = 133 Divide each side by '-4'. x = -33.25 Simplifying x = -33.25
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