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Simplifying 8x + -1(2x + -9) = 4x + -1(4 + 4x) Reorder the terms: 8x + -1(-9 + 2x) = 4x + -1(4 + 4x) 8x + (-9 * -1 + 2x * -1) = 4x + -1(4 + 4x) 8x + (9 + -2x) = 4x + -1(4 + 4x) Reorder the terms: 9 + 8x + -2x = 4x + -1(4 + 4x) Combine like terms: 8x + -2x = 6x 9 + 6x = 4x + -1(4 + 4x) 9 + 6x = 4x + (4 * -1 + 4x * -1) 9 + 6x = 4x + (-4 + -4x) Reorder the terms: 9 + 6x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 6x = -4 + 0 9 + 6x = -4 Solving 9 + 6x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = -4 + -9 6x = -4 + -9 Combine like terms: -4 + -9 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667
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