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Simplifying 4(X + -1) + -4 = 2X + -5(2X + 7) Reorder the terms: 4(-1 + X) + -4 = 2X + -5(2X + 7) (-1 * 4 + X * 4) + -4 = 2X + -5(2X + 7) (-4 + 4X) + -4 = 2X + -5(2X + 7) Reorder the terms: -4 + -4 + 4X = 2X + -5(2X + 7) Combine like terms: -4 + -4 = -8 -8 + 4X = 2X + -5(2X + 7) Reorder the terms: -8 + 4X = 2X + -5(7 + 2X) -8 + 4X = 2X + (7 * -5 + 2X * -5) -8 + 4X = 2X + (-35 + -10X) Reorder the terms: -8 + 4X = -35 + 2X + -10X Combine like terms: 2X + -10X = -8X -8 + 4X = -35 + -8X Solving -8 + 4X = -35 + -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. -8 + 4X + 8X = -35 + -8X + 8X Combine like terms: 4X + 8X = 12X -8 + 12X = -35 + -8X + 8X Combine like terms: -8X + 8X = 0 -8 + 12X = -35 + 0 -8 + 12X = -35 Add '8' to each side of the equation. -8 + 8 + 12X = -35 + 8 Combine like terms: -8 + 8 = 0 0 + 12X = -35 + 8 12X = -35 + 8 Combine like terms: -35 + 8 = -27 12X = -27 Divide each side by '12'. X = -2.25 Simplifying X = -2.25
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