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Simplifying 5(x + -1) + 16(2x + 3) = x(x + -3) + -1x(x + 5) Reorder the terms: 5(-1 + x) + 16(2x + 3) = x(x + -3) + -1x(x + 5) (-1 * 5 + x * 5) + 16(2x + 3) = x(x + -3) + -1x(x + 5) (-5 + 5x) + 16(2x + 3) = x(x + -3) + -1x(x + 5) Reorder the terms: -5 + 5x + 16(3 + 2x) = x(x + -3) + -1x(x + 5) -5 + 5x + (3 * 16 + 2x * 16) = x(x + -3) + -1x(x + 5) -5 + 5x + (48 + 32x) = x(x + -3) + -1x(x + 5) Reorder the terms: -5 + 48 + 5x + 32x = x(x + -3) + -1x(x + 5) Combine like terms: -5 + 48 = 43 43 + 5x + 32x = x(x + -3) + -1x(x + 5) Combine like terms: 5x + 32x = 37x 43 + 37x = x(x + -3) + -1x(x + 5) Reorder the terms: 43 + 37x = x(-3 + x) + -1x(x + 5) 43 + 37x = (-3 * x + x * x) + -1x(x + 5) 43 + 37x = (-3x + x2) + -1x(x + 5) Reorder the terms: 43 + 37x = -3x + x2 + -1x(5 + x) 43 + 37x = -3x + x2 + (5 * -1x + x * -1x) 43 + 37x = -3x + x2 + (-5x + -1x2) Reorder the terms: 43 + 37x = -3x + -5x + x2 + -1x2 Combine like terms: -3x + -5x = -8x 43 + 37x = -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 43 + 37x = -8x + 0 43 + 37x = -8x Solving 43 + 37x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 43 + 37x + 8x = -8x + 8x Combine like terms: 37x + 8x = 45x 43 + 45x = -8x + 8x Combine like terms: -8x + 8x = 0 43 + 45x = 0 Add '-43' to each side of the equation. 43 + -43 + 45x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 45x = 0 + -43 45x = 0 + -43 Combine like terms: 0 + -43 = -43 45x = -43 Divide each side by '45'. x = -0.9555555556 Simplifying x = -0.9555555556
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