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