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Simplifying 4x + 10 + -1(5x + -1(9(x + -1) + -5)) = 4(x + -5) Reorder the terms: 4x + 10 + -1(5x + -1(9(-1 + x) + -5)) = 4(x + -5) 4x + 10 + -1(5x + -1((-1 * 9 + x * 9) + -5)) = 4(x + -5) 4x + 10 + -1(5x + -1((-9 + 9x) + -5)) = 4(x + -5) Reorder the terms: 4x + 10 + -1(5x + -1(-9 + -5 + 9x)) = 4(x + -5) Combine like terms: -9 + -5 = -14 4x + 10 + -1(5x + -1(-14 + 9x)) = 4(x + -5) 4x + 10 + -1(5x + (-14 * -1 + 9x * -1)) = 4(x + -5) 4x + 10 + -1(5x + (14 + -9x)) = 4(x + -5) Reorder the terms: 4x + 10 + -1(14 + 5x + -9x) = 4(x + -5) Combine like terms: 5x + -9x = -4x 4x + 10 + -1(14 + -4x) = 4(x + -5) 4x + 10 + (14 * -1 + -4x * -1) = 4(x + -5) 4x + 10 + (-14 + 4x) = 4(x + -5) Reorder the terms: 10 + -14 + 4x + 4x = 4(x + -5) Combine like terms: 10 + -14 = -4 -4 + 4x + 4x = 4(x + -5) Combine like terms: 4x + 4x = 8x -4 + 8x = 4(x + -5) Reorder the terms: -4 + 8x = 4(-5 + x) -4 + 8x = (-5 * 4 + x * 4) -4 + 8x = (-20 + 4x) Solving -4 + 8x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 8x + -4x = -20 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 4x = -20 + 0 -4 + 4x = -20 Add '4' to each side of the equation. -4 + 4 + 4x = -20 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -20 + 4 4x = -20 + 4 Combine like terms: -20 + 4 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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