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Simplifying -1[4X + -1(2X + 7)] = -8 + -1[4(2X + -5) + -4x] Reorder the terms: -1[4X + -1(7 + 2X)] = -8 + -1[4(2X + -5) + -4x] -1[4X + (7 * -1 + 2X * -1)] = -8 + -1[4(2X + -5) + -4x] -1[4X + (-7 + -2X)] = -8 + -1[4(2X + -5) + -4x] Reorder the terms: -1[-7 + 4X + -2X] = -8 + -1[4(2X + -5) + -4x] Combine like terms: 4X + -2X = 2X -1[-7 + 2X] = -8 + -1[4(2X + -5) + -4x] [-7 * -1 + 2X * -1] = -8 + -1[4(2X + -5) + -4x] [7 + -2X] = -8 + -1[4(2X + -5) + -4x] Reorder the terms: 7 + -2X = -8 + -1[4(-5 + 2X) + -4x] 7 + -2X = -8 + -1[(-5 * 4 + 2X * 4) + -4x] 7 + -2X = -8 + -1[(-20 + 8X) + -4x] 7 + -2X = -8 + [-20 * -1 + 8X * -1 + -4x * -1] 7 + -2X = -8 + [20 + -8X + 4x] Combine like terms: -8 + 20 = 12 7 + -2X = 12 + -8X + 4x Solving 7 + -2X = 12 + -8X + 4x 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. 7 + -2X + 8X = 12 + -8X + 8X + 4x Combine like terms: -2X + 8X = 6X 7 + 6X = 12 + -8X + 8X + 4x Combine like terms: -8X + 8X = 0 7 + 6X = 12 + 0 + 4x 7 + 6X = 12 + 4x Add '-7' to each side of the equation. 7 + -7 + 6X = 12 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + 6X = 12 + -7 + 4x 6X = 12 + -7 + 4x Combine like terms: 12 + -7 = 5 6X = 5 + 4x Divide each side by '6'. X = 0.8333333333 + 0.6666666667x Simplifying X = 0.8333333333 + 0.6666666667x
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