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Simplifying 3x + -1(6 + -1x) = 8[9 + -1(5 + 7x + -10)] 3x + (6 * -1 + -1x * -1) = 8[9 + -1(5 + 7x + -10)] 3x + (-6 + 1x) = 8[9 + -1(5 + 7x + -10)] Reorder the terms: -6 + 3x + 1x = 8[9 + -1(5 + 7x + -10)] Combine like terms: 3x + 1x = 4x -6 + 4x = 8[9 + -1(5 + 7x + -10)] Reorder the terms: -6 + 4x = 8[9 + -1(5 + -10 + 7x)] Combine like terms: 5 + -10 = -5 -6 + 4x = 8[9 + -1(-5 + 7x)] -6 + 4x = 8[9 + (-5 * -1 + 7x * -1)] -6 + 4x = 8[9 + (5 + -7x)] Combine like terms: 9 + 5 = 14 -6 + 4x = 8[14 + -7x] -6 + 4x = [14 * 8 + -7x * 8] -6 + 4x = [112 + -56x] Solving -6 + 4x = 112 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -6 + 4x + 56x = 112 + -56x + 56x Combine like terms: 4x + 56x = 60x -6 + 60x = 112 + -56x + 56x Combine like terms: -56x + 56x = 0 -6 + 60x = 112 + 0 -6 + 60x = 112 Add '6' to each side of the equation. -6 + 6 + 60x = 112 + 6 Combine like terms: -6 + 6 = 0 0 + 60x = 112 + 6 60x = 112 + 6 Combine like terms: 112 + 6 = 118 60x = 118 Divide each side by '60'. x = 1.966666667 Simplifying x = 1.966666667
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