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Simplifying 4x + -6x + 27 = 5x + 34 Reorder the terms: 27 + 4x + -6x = 5x + 34 Combine like terms: 4x + -6x = -2x 27 + -2x = 5x + 34 Reorder the terms: 27 + -2x = 34 + 5x Solving 27 + -2x = 34 + 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. 27 + -2x + -5x = 34 + 5x + -5x Combine like terms: -2x + -5x = -7x 27 + -7x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -7x = 34 + 0 27 + -7x = 34 Add '-27' to each side of the equation. 27 + -27 + -7x = 34 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = 34 + -27 -7x = 34 + -27 Combine like terms: 34 + -27 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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