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Simplifying 5x + 14 + -2x = 9(4x + 2) Reorder the terms: 14 + 5x + -2x = 9(4x + 2) Combine like terms: 5x + -2x = 3x 14 + 3x = 9(4x + 2) Reorder the terms: 14 + 3x = 9(2 + 4x) 14 + 3x = (2 * 9 + 4x * 9) 14 + 3x = (18 + 36x) Solving 14 + 3x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 14 + 3x + -36x = 18 + 36x + -36x Combine like terms: 3x + -36x = -33x 14 + -33x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 14 + -33x = 18 + 0 14 + -33x = 18 Add '-14' to each side of the equation. 14 + -14 + -33x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -33x = 18 + -14 -33x = 18 + -14 Combine like terms: 18 + -14 = 4 -33x = 4 Divide each side by '-33'. x = -0.1212121212 Simplifying x = -0.1212121212
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