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Simplifying 8x + -1(7x + 5) = -8 + -2(x + 12) Reorder the terms: 8x + -1(5 + 7x) = -8 + -2(x + 12) 8x + (5 * -1 + 7x * -1) = -8 + -2(x + 12) 8x + (-5 + -7x) = -8 + -2(x + 12) Reorder the terms: -5 + 8x + -7x = -8 + -2(x + 12) Combine like terms: 8x + -7x = 1x -5 + 1x = -8 + -2(x + 12) Reorder the terms: -5 + 1x = -8 + -2(12 + x) -5 + 1x = -8 + (12 * -2 + x * -2) -5 + 1x = -8 + (-24 + -2x) Combine like terms: -8 + -24 = -32 -5 + 1x = -32 + -2x Solving -5 + 1x = -32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 1x + 2x = -32 + -2x + 2x Combine like terms: 1x + 2x = 3x -5 + 3x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 3x = -32 + 0 -5 + 3x = -32 Add '5' to each side of the equation. -5 + 5 + 3x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -32 + 5 3x = -32 + 5 Combine like terms: -32 + 5 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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