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Simplifying 4x + 11 + -9x = 19x + -19x + 14x + -8 Reorder the terms: 11 + 4x + -9x = 19x + -19x + 14x + -8 Combine like terms: 4x + -9x = -5x 11 + -5x = 19x + -19x + 14x + -8 Reorder the terms: 11 + -5x = -8 + 19x + -19x + 14x Combine like terms: 19x + -19x = 0 11 + -5x = -8 + 0 + 14x 11 + -5x = -8 + 14x Solving 11 + -5x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 11 + -5x + -14x = -8 + 14x + -14x Combine like terms: -5x + -14x = -19x 11 + -19x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + -19x = -8 + 0 11 + -19x = -8 Add '-11' to each side of the equation. 11 + -11 + -19x = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -19x = -8 + -11 -19x = -8 + -11 Combine like terms: -8 + -11 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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