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Simplifying 3x + 27 = 3 + 7x + -8 Reorder the terms: 27 + 3x = 3 + 7x + -8 Reorder the terms: 27 + 3x = 3 + -8 + 7x Combine like terms: 3 + -8 = -5 27 + 3x = -5 + 7x Solving 27 + 3x = -5 + 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 + 3x + -7x = -5 + 7x + -7x Combine like terms: 3x + -7x = -4x 27 + -4x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -4x = -5 + 0 27 + -4x = -5 Add '-27' to each side of the equation. 27 + -27 + -4x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = -5 + -27 -4x = -5 + -27 Combine like terms: -5 + -27 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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