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Simplifying 0 = 4(x + 4) + 5(x + 1) Reorder the terms: 0 = 4(4 + x) + 5(x + 1) 0 = (4 * 4 + x * 4) + 5(x + 1) 0 = (16 + 4x) + 5(x + 1) Reorder the terms: 0 = 16 + 4x + 5(1 + x) 0 = 16 + 4x + (1 * 5 + x * 5) 0 = 16 + 4x + (5 + 5x) Reorder the terms: 0 = 16 + 5 + 4x + 5x Combine like terms: 16 + 5 = 21 0 = 21 + 4x + 5x Combine like terms: 4x + 5x = 9x 0 = 21 + 9x Solving 0 = 21 + 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. 0 + -9x = 21 + 9x + -9x Remove the zero: -9x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 -9x = 21 + 0 -9x = 21 Divide each side by '-9'. x = -2.333333333 Simplifying x = -2.333333333
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