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Simplifying -1[8(4x + 5)] = 7 + -1(7x + 7) Reorder the terms: -1[8(5 + 4x)] = 7 + -1(7x + 7) -1[(5 * 8 + 4x * 8)] = 7 + -1(7x + 7) -1[(40 + 32x)] = 7 + -1(7x + 7) [40 * -1 + 32x * -1] = 7 + -1(7x + 7) [-40 + -32x] = 7 + -1(7x + 7) Reorder the terms: -40 + -32x = 7 + -1(7 + 7x) -40 + -32x = 7 + (7 * -1 + 7x * -1) -40 + -32x = 7 + (-7 + -7x) Combine like terms: 7 + -7 = 0 -40 + -32x = 0 + -7x -40 + -32x = -7x Solving -40 + -32x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + -32x + 7x = -7x + 7x Combine like terms: -32x + 7x = -25x -40 + -25x = -7x + 7x Combine like terms: -7x + 7x = 0 -40 + -25x = 0 Add '40' to each side of the equation. -40 + 40 + -25x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -25x = 0 + 40 -25x = 0 + 40 Combine like terms: 0 + 40 = 40 -25x = 40 Divide each side by '-25'. x = -1.6 Simplifying x = -1.6
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