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Simplifying 3x + -1 + 5x = 12x + 14 + x Reorder the terms: -1 + 3x + 5x = 12x + 14 + x Combine like terms: 3x + 5x = 8x -1 + 8x = 12x + 14 + x Reorder the terms: -1 + 8x = 14 + 12x + x Combine like terms: 12x + x = 13x -1 + 8x = 14 + 13x Solving -1 + 8x = 14 + 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. -1 + 8x + -13x = 14 + 13x + -13x Combine like terms: 8x + -13x = -5x -1 + -5x = 14 + 13x + -13x Combine like terms: 13x + -13x = 0 -1 + -5x = 14 + 0 -1 + -5x = 14 Add '1' to each side of the equation. -1 + 1 + -5x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 14 + 1 -5x = 14 + 1 Combine like terms: 14 + 1 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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