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Simplifying x + -1(5x + 5) = -8 + -2(x + 12) Reorder the terms: x + -1(5 + 5x) = -8 + -2(x + 12) x + (5 * -1 + 5x * -1) = -8 + -2(x + 12) x + (-5 + -5x) = -8 + -2(x + 12) Reorder the terms: -5 + x + -5x = -8 + -2(x + 12) Combine like terms: x + -5x = -4x -5 + -4x = -8 + -2(x + 12) Reorder the terms: -5 + -4x = -8 + -2(12 + x) -5 + -4x = -8 + (12 * -2 + x * -2) -5 + -4x = -8 + (-24 + -2x) Combine like terms: -8 + -24 = -32 -5 + -4x = -32 + -2x Solving -5 + -4x = -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 + -4x + 2x = -32 + -2x + 2x Combine like terms: -4x + 2x = -2x -5 + -2x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -2x = -32 + 0 -5 + -2x = -32 Add '5' to each side of the equation. -5 + 5 + -2x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -32 + 5 -2x = -32 + 5 Combine like terms: -32 + 5 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5
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