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Simplifying -7x + -1(-8x + 7) = -3(x + 5) Reorder the terms: -7x + -1(7 + -8x) = -3(x + 5) -7x + (7 * -1 + -8x * -1) = -3(x + 5) -7x + (-7 + 8x) = -3(x + 5) Reorder the terms: -7 + -7x + 8x = -3(x + 5) Combine like terms: -7x + 8x = 1x -7 + 1x = -3(x + 5) Reorder the terms: -7 + 1x = -3(5 + x) -7 + 1x = (5 * -3 + x * -3) -7 + 1x = (-15 + -3x) Solving -7 + 1x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 1x + 3x = -15 + -3x + 3x Combine like terms: 1x + 3x = 4x -7 + 4x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 4x = -15 + 0 -7 + 4x = -15 Add '7' to each side of the equation. -7 + 7 + 4x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -15 + 7 4x = -15 + 7 Combine like terms: -15 + 7 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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