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Simplifying 2(3x + -2) + 8x = 14 + 5x Reorder the terms: 2(-2 + 3x) + 8x = 14 + 5x (-2 * 2 + 3x * 2) + 8x = 14 + 5x (-4 + 6x) + 8x = 14 + 5x Combine like terms: 6x + 8x = 14x -4 + 14x = 14 + 5x Solving -4 + 14x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 14x + -5x = 14 + 5x + -5x Combine like terms: 14x + -5x = 9x -4 + 9x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 9x = 14 + 0 -4 + 9x = 14 Add '4' to each side of the equation. -4 + 4 + 9x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 14 + 4 9x = 14 + 4 Combine like terms: 14 + 4 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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