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Simplifying 7x + -14x + 27 = 13x + -5 Reorder the terms: 27 + 7x + -14x = 13x + -5 Combine like terms: 7x + -14x = -7x 27 + -7x = 13x + -5 Reorder the terms: 27 + -7x = -5 + 13x Solving 27 + -7x = -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. 27 + -7x + -13x = -5 + 13x + -13x Combine like terms: -7x + -13x = -20x 27 + -20x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 27 + -20x = -5 + 0 27 + -20x = -5 Add '-27' to each side of the equation. 27 + -27 + -20x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -20x = -5 + -27 -20x = -5 + -27 Combine like terms: -5 + -27 = -32 -20x = -32 Divide each side by '-20'. x = 1.6 Simplifying x = 1.6
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