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