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Simplifying 4(x + -1) + -5(5x + 4) = x + -24 Reorder the terms: 4(-1 + x) + -5(5x + 4) = x + -24 (-1 * 4 + x * 4) + -5(5x + 4) = x + -24 (-4 + 4x) + -5(5x + 4) = x + -24 Reorder the terms: -4 + 4x + -5(4 + 5x) = x + -24 -4 + 4x + (4 * -5 + 5x * -5) = x + -24 -4 + 4x + (-20 + -25x) = x + -24 Reorder the terms: -4 + -20 + 4x + -25x = x + -24 Combine like terms: -4 + -20 = -24 -24 + 4x + -25x = x + -24 Combine like terms: 4x + -25x = -21x -24 + -21x = x + -24 Reorder the terms: -24 + -21x = -24 + x Add '24' to each side of the equation. -24 + 24 + -21x = -24 + 24 + x Combine like terms: -24 + 24 = 0 0 + -21x = -24 + 24 + x -21x = -24 + 24 + x Combine like terms: -24 + 24 = 0 -21x = 0 + x -21x = x Solving -21x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21x + -1x = x + -1x Combine like terms: -21x + -1x = -22x -22x = x + -1x Combine like terms: x + -1x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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