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Simplifying 8x + -1(6x + -9) + (3x + -2) = 4 + -7x + -8 Reorder the terms: 8x + -1(-9 + 6x) + (3x + -2) = 4 + -7x + -8 8x + (-9 * -1 + 6x * -1) + (3x + -2) = 4 + -7x + -8 8x + (9 + -6x) + (3x + -2) = 4 + -7x + -8 Reorder the terms: 8x + 9 + -6x + (-2 + 3x) = 4 + -7x + -8 Remove parenthesis around (-2 + 3x) 8x + 9 + -6x + -2 + 3x = 4 + -7x + -8 Reorder the terms: 9 + -2 + 8x + -6x + 3x = 4 + -7x + -8 Combine like terms: 9 + -2 = 7 7 + 8x + -6x + 3x = 4 + -7x + -8 Combine like terms: 8x + -6x = 2x 7 + 2x + 3x = 4 + -7x + -8 Combine like terms: 2x + 3x = 5x 7 + 5x = 4 + -7x + -8 Reorder the terms: 7 + 5x = 4 + -8 + -7x Combine like terms: 4 + -8 = -4 7 + 5x = -4 + -7x Solving 7 + 5x = -4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + 5x + 7x = -4 + -7x + 7x Combine like terms: 5x + 7x = 12x 7 + 12x = -4 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 12x = -4 + 0 7 + 12x = -4 Add '-7' to each side of the equation. 7 + -7 + 12x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -4 + -7 12x = -4 + -7 Combine like terms: -4 + -7 = -11 12x = -11 Divide each side by '12'. x = -0.9166666667 Simplifying x = -0.9166666667
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