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