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Simplifying 8x + (-10x + -1(x + 4)) = -1(2x + (-6x + -4)) Reorder the terms: 8x + (-10x + -1(4 + x)) = -1(2x + (-6x + -4)) 8x + (-10x + (4 * -1 + x * -1)) = -1(2x + (-6x + -4)) 8x + (-10x + (-4 + -1x)) = -1(2x + (-6x + -4)) Reorder the terms: 8x + (-4 + -10x + -1x) = -1(2x + (-6x + -4)) Combine like terms: -10x + -1x = -11x 8x + (-4 + -11x) = -1(2x + (-6x + -4)) Remove parenthesis around (-4 + -11x) 8x + -4 + -11x = -1(2x + (-6x + -4)) Reorder the terms: -4 + 8x + -11x = -1(2x + (-6x + -4)) Combine like terms: 8x + -11x = -3x -4 + -3x = -1(2x + (-6x + -4)) Reorder the terms: -4 + -3x = -1(2x + (-4 + -6x)) Remove parenthesis around (-4 + -6x) -4 + -3x = -1(2x + -4 + -6x) Reorder the terms: -4 + -3x = -1(-4 + 2x + -6x) Combine like terms: 2x + -6x = -4x -4 + -3x = -1(-4 + -4x) -4 + -3x = (-4 * -1 + -4x * -1) -4 + -3x = (4 + 4x) Solving -4 + -3x = 4 + 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. -4 + -3x + -4x = 4 + 4x + -4x Combine like terms: -3x + -4x = -7x -4 + -7x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -7x = 4 + 0 -4 + -7x = 4 Add '4' to each side of the equation. -4 + 4 + -7x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 4 + 4 -7x = 4 + 4 Combine like terms: 4 + 4 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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