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Simplifying 8 + 10x + 11 + -33 = 1x + 2x + 100 Reorder the terms: 8 + 11 + -33 + 10x = 1x + 2x + 100 Combine like terms: 8 + 11 = 19 19 + -33 + 10x = 1x + 2x + 100 Combine like terms: 19 + -33 = -14 -14 + 10x = 1x + 2x + 100 Reorder the terms: -14 + 10x = 100 + 1x + 2x Combine like terms: 1x + 2x = 3x -14 + 10x = 100 + 3x Solving -14 + 10x = 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. -14 + 10x + -3x = 100 + 3x + -3x Combine like terms: 10x + -3x = 7x -14 + 7x = 100 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 7x = 100 + 0 -14 + 7x = 100 Add '14' to each side of the equation. -14 + 14 + 7x = 100 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 100 + 14 7x = 100 + 14 Combine like terms: 100 + 14 = 114 7x = 114 Divide each side by '7'. x = 16.28571429 Simplifying x = 16.28571429
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