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Simplifying 14x + -6 = 8x + -5 + 5x Reorder the terms: -6 + 14x = 8x + -5 + 5x Reorder the terms: -6 + 14x = -5 + 8x + 5x Combine like terms: 8x + 5x = 13x -6 + 14x = -5 + 13x Solving -6 + 14x = -5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 14x + -13x = -5 + 13x + -13x Combine like terms: 14x + -13x = 1x -6 + 1x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + 1x = -5 + 0 -6 + 1x = -5 Add '6' to each side of the equation. -6 + 6 + 1x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -5 + 6 1x = -5 + 6 Combine like terms: -5 + 6 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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