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Simplifying 14x + 18x + -8 + 1 = -5x + 1 + -8 Reorder the terms: -8 + 1 + 14x + 18x = -5x + 1 + -8 Combine like terms: -8 + 1 = -7 -7 + 14x + 18x = -5x + 1 + -8 Combine like terms: 14x + 18x = 32x -7 + 32x = -5x + 1 + -8 Reorder the terms: -7 + 32x = 1 + -8 + -5x Combine like terms: 1 + -8 = -7 -7 + 32x = -7 + -5x Add '7' to each side of the equation. -7 + 7 + 32x = -7 + 7 + -5x Combine like terms: -7 + 7 = 0 0 + 32x = -7 + 7 + -5x 32x = -7 + 7 + -5x Combine like terms: -7 + 7 = 0 32x = 0 + -5x 32x = -5x Solving 32x = -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. 32x + 5x = -5x + 5x Combine like terms: 32x + 5x = 37x 37x = -5x + 5x Combine like terms: -5x + 5x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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