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Simplifying 5x + 14 + -2x = 9 + -2(4x + 2) Reorder the terms: 14 + 5x + -2x = 9 + -2(4x + 2) Combine like terms: 5x + -2x = 3x 14 + 3x = 9 + -2(4x + 2) Reorder the terms: 14 + 3x = 9 + -2(2 + 4x) 14 + 3x = 9 + (2 * -2 + 4x * -2) 14 + 3x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 14 + 3x = 5 + -8x Solving 14 + 3x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + 3x + 8x = 5 + -8x + 8x Combine like terms: 3x + 8x = 11x 14 + 11x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 11x = 5 + 0 14 + 11x = 5 Add '-14' to each side of the equation. 14 + -14 + 11x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 5 + -14 11x = 5 + -14 Combine like terms: 5 + -14 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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