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Simplifying 5x + 27 = 7x + 35 Reorder the terms: 27 + 5x = 7x + 35 Reorder the terms: 27 + 5x = 35 + 7x Solving 27 + 5x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + 5x + -7x = 35 + 7x + -7x Combine like terms: 5x + -7x = -2x 27 + -2x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -2x = 35 + 0 27 + -2x = 35 Add '-27' to each side of the equation. 27 + -27 + -2x = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 35 + -27 -2x = 35 + -27 Combine like terms: 35 + -27 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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