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Simplifying 4(x + 1) + -10 = 5(5x + -1) Reorder the terms: 4(1 + x) + -10 = 5(5x + -1) (1 * 4 + x * 4) + -10 = 5(5x + -1) (4 + 4x) + -10 = 5(5x + -1) Reorder the terms: 4 + -10 + 4x = 5(5x + -1) Combine like terms: 4 + -10 = -6 -6 + 4x = 5(5x + -1) Reorder the terms: -6 + 4x = 5(-1 + 5x) -6 + 4x = (-1 * 5 + 5x * 5) -6 + 4x = (-5 + 25x) Solving -6 + 4x = -5 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -6 + 4x + -25x = -5 + 25x + -25x Combine like terms: 4x + -25x = -21x -6 + -21x = -5 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + -21x = -5 + 0 -6 + -21x = -5 Add '6' to each side of the equation. -6 + 6 + -21x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -21x = -5 + 6 -21x = -5 + 6 Combine like terms: -5 + 6 = 1 -21x = 1 Divide each side by '-21'. x = -0.04761904762 Simplifying x = -0.04761904762
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