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Simplifying 8x + -1(2x + -9) = 4 + -1(8 + 4x) + -1 Reorder the terms: 8x + -1(-9 + 2x) = 4 + -1(8 + 4x) + -1 8x + (-9 * -1 + 2x * -1) = 4 + -1(8 + 4x) + -1 8x + (9 + -2x) = 4 + -1(8 + 4x) + -1 Reorder the terms: 9 + 8x + -2x = 4 + -1(8 + 4x) + -1 Combine like terms: 8x + -2x = 6x 9 + 6x = 4 + -1(8 + 4x) + -1 9 + 6x = 4 + (8 * -1 + 4x * -1) + -1 9 + 6x = 4 + (-8 + -4x) + -1 Reorder the terms: 9 + 6x = 4 + -8 + -1 + -4x Combine like terms: 4 + -8 = -4 9 + 6x = -4 + -1 + -4x Combine like terms: -4 + -1 = -5 9 + 6x = -5 + -4x Solving 9 + 6x = -5 + -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. 9 + 6x + 4x = -5 + -4x + 4x Combine like terms: 6x + 4x = 10x 9 + 10x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 10x = -5 + 0 9 + 10x = -5 Add '-9' to each side of the equation. 9 + -9 + 10x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = -5 + -9 10x = -5 + -9 Combine like terms: -5 + -9 = -14 10x = -14 Divide each side by '10'. x = -1.4 Simplifying x = -1.4
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