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Simplifying 5[x + -1(6x + -5)] = 1 + -8x Reorder the terms: 5[x + -1(-5 + 6x)] = 1 + -8x 5[x + (-5 * -1 + 6x * -1)] = 1 + -8x 5[x + (5 + -6x)] = 1 + -8x Reorder the terms: 5[5 + x + -6x] = 1 + -8x Combine like terms: x + -6x = -5x 5[5 + -5x] = 1 + -8x [5 * 5 + -5x * 5] = 1 + -8x [25 + -25x] = 1 + -8x Solving 25 + -25x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 25 + -25x + 8x = 1 + -8x + 8x Combine like terms: -25x + 8x = -17x 25 + -17x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 25 + -17x = 1 + 0 25 + -17x = 1 Add '-25' to each side of the equation. 25 + -25 + -17x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -17x = 1 + -25 -17x = 1 + -25 Combine like terms: 1 + -25 = -24 -17x = -24 Divide each side by '-17'. x = 1.411764706 Simplifying x = 1.411764706
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