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Simplifying -6(X + 6) + 7x = -4(-1X + 6) Reorder the terms: -6(6 + X) + 7x = -4(-1X + 6) (6 * -6 + X * -6) + 7x = -4(-1X + 6) (-36 + -6X) + 7x = -4(-1X + 6) Reorder the terms: -36 + -6X + 7x = -4(6 + -1X) -36 + -6X + 7x = (6 * -4 + -1X * -4) -36 + -6X + 7x = (-24 + 4X) Solving -36 + -6X + 7x = -24 + 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. -36 + -6X + -4X + 7x = -24 + 4X + -4X Combine like terms: -6X + -4X = -10X -36 + -10X + 7x = -24 + 4X + -4X Combine like terms: 4X + -4X = 0 -36 + -10X + 7x = -24 + 0 -36 + -10X + 7x = -24 Add '36' to each side of the equation. -36 + -10X + 36 + 7x = -24 + 36 Reorder the terms: -36 + 36 + -10X + 7x = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -10X + 7x = -24 + 36 -10X + 7x = -24 + 36 Combine like terms: -24 + 36 = 12 -10X + 7x = 12 Add '-7x' to each side of the equation. -10X + 7x + -7x = 12 + -7x Combine like terms: 7x + -7x = 0 -10X + 0 = 12 + -7x -10X = 12 + -7x Divide each side by '-10'. X = -1.2 + 0.7x Simplifying X = -1.2 + 0.7x
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