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Simplifying 5x + -14 + 2x = 100 + 3x + -34 Reorder the terms: -14 + 5x + 2x = 100 + 3x + -34 Combine like terms: 5x + 2x = 7x -14 + 7x = 100 + 3x + -34 Reorder the terms: -14 + 7x = 100 + -34 + 3x Combine like terms: 100 + -34 = 66 -14 + 7x = 66 + 3x Solving -14 + 7x = 66 + 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 + 7x + -3x = 66 + 3x + -3x Combine like terms: 7x + -3x = 4x -14 + 4x = 66 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 4x = 66 + 0 -14 + 4x = 66 Add '14' to each side of the equation. -14 + 14 + 4x = 66 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 66 + 14 4x = 66 + 14 Combine like terms: 66 + 14 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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