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Simplifying 5[x + -1(4x + -5)] = 7 + -8x Reorder the terms: 5[x + -1(-5 + 4x)] = 7 + -8x 5[x + (-5 * -1 + 4x * -1)] = 7 + -8x 5[x + (5 + -4x)] = 7 + -8x Reorder the terms: 5[5 + x + -4x] = 7 + -8x Combine like terms: x + -4x = -3x 5[5 + -3x] = 7 + -8x [5 * 5 + -3x * 5] = 7 + -8x [25 + -15x] = 7 + -8x Solving 25 + -15x = 7 + -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 + -15x + 8x = 7 + -8x + 8x Combine like terms: -15x + 8x = -7x 25 + -7x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 25 + -7x = 7 + 0 25 + -7x = 7 Add '-25' to each side of the equation. 25 + -25 + -7x = 7 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = 7 + -25 -7x = 7 + -25 Combine like terms: 7 + -25 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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