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Simplifying 5[x + -1(4x + -5)] = 1 + -6x Reorder the terms: 5[x + -1(-5 + 4x)] = 1 + -6x 5[x + (-5 * -1 + 4x * -1)] = 1 + -6x 5[x + (5 + -4x)] = 1 + -6x Reorder the terms: 5[5 + x + -4x] = 1 + -6x Combine like terms: x + -4x = -3x 5[5 + -3x] = 1 + -6x [5 * 5 + -3x * 5] = 1 + -6x [25 + -15x] = 1 + -6x Solving 25 + -15x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 25 + -15x + 6x = 1 + -6x + 6x Combine like terms: -15x + 6x = -9x 25 + -9x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 25 + -9x = 1 + 0 25 + -9x = 1 Add '-25' to each side of the equation. 25 + -25 + -9x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = 1 + -25 -9x = 1 + -25 Combine like terms: 1 + -25 = -24 -9x = -24 Divide each side by '-9'. x = 2.666666667 Simplifying x = 2.666666667
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