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Simplifying 5 + -4(4X + -5) = 6 + -4(2X + -1) Reorder the terms: 5 + -4(-5 + 4X) = 6 + -4(2X + -1) 5 + (-5 * -4 + 4X * -4) = 6 + -4(2X + -1) 5 + (20 + -16X) = 6 + -4(2X + -1) Combine like terms: 5 + 20 = 25 25 + -16X = 6 + -4(2X + -1) Reorder the terms: 25 + -16X = 6 + -4(-1 + 2X) 25 + -16X = 6 + (-1 * -4 + 2X * -4) 25 + -16X = 6 + (4 + -8X) Combine like terms: 6 + 4 = 10 25 + -16X = 10 + -8X Solving 25 + -16X = 10 + -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. 25 + -16X + 8X = 10 + -8X + 8X Combine like terms: -16X + 8X = -8X 25 + -8X = 10 + -8X + 8X Combine like terms: -8X + 8X = 0 25 + -8X = 10 + 0 25 + -8X = 10 Add '-25' to each side of the equation. 25 + -25 + -8X = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -8X = 10 + -25 -8X = 10 + -25 Combine like terms: 10 + -25 = -15 -8X = -15 Divide each side by '-8'. X = 1.875 Simplifying X = 1.875
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