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Simplifying 4x + 1 = 9x + (31) Reorder the terms: 1 + 4x = 9x + (31) 1 + 4x = 9x + 31 Reorder the terms: 1 + 4x = 31 + 9x Solving 1 + 4x = 31 + 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 + 4x + -9x = 31 + 9x + -9x Combine like terms: 4x + -9x = -5x 1 + -5x = 31 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -5x = 31 + 0 1 + -5x = 31 Add '-1' to each side of the equation. 1 + -1 + -5x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 31 + -1 -5x = 31 + -1 Combine like terms: 31 + -1 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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