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Simplifying 4x + 5(-5x + -4) + -10 = 54 Reorder the terms: 4x + 5(-4 + -5x) + -10 = 54 4x + (-4 * 5 + -5x * 5) + -10 = 54 4x + (-20 + -25x) + -10 = 54 Reorder the terms: -20 + -10 + 4x + -25x = 54 Combine like terms: -20 + -10 = -30 -30 + 4x + -25x = 54 Combine like terms: 4x + -25x = -21x -30 + -21x = 54 Solving -30 + -21x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -21x = 54 + 30 Combine like terms: -30 + 30 = 0 0 + -21x = 54 + 30 -21x = 54 + 30 Combine like terms: 54 + 30 = 84 -21x = 84 Divide each side by '-21'. x = -4 Simplifying x = -4
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