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Simplifying 5x + 1 = 9x + -27 Reorder the terms: 1 + 5x = 9x + -27 Reorder the terms: 1 + 5x = -27 + 9x Solving 1 + 5x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 5x + -9x = -27 + 9x + -9x Combine like terms: 5x + -9x = -4x 1 + -4x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -4x = -27 + 0 1 + -4x = -27 Add '-1' to each side of the equation. 1 + -1 + -4x = -27 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -27 + -1 -4x = -27 + -1 Combine like terms: -27 + -1 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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