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Simplifying 54 + 13x + -6 = 5x + 14 Reorder the terms: 54 + -6 + 13x = 5x + 14 Combine like terms: 54 + -6 = 48 48 + 13x = 5x + 14 Reorder the terms: 48 + 13x = 14 + 5x Solving 48 + 13x = 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. 48 + 13x + -5x = 14 + 5x + -5x Combine like terms: 13x + -5x = 8x 48 + 8x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 8x = 14 + 0 48 + 8x = 14 Add '-48' to each side of the equation. 48 + -48 + 8x = 14 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 14 + -48 8x = 14 + -48 Combine like terms: 14 + -48 = -34 8x = -34 Divide each side by '8'. x = -4.25 Simplifying x = -4.25
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