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Simplifying x + 6(x + -6) = 5(x + -4) + -32 Reorder the terms: x + 6(-6 + x) = 5(x + -4) + -32 x + (-6 * 6 + x * 6) = 5(x + -4) + -32 x + (-36 + 6x) = 5(x + -4) + -32 Reorder the terms: -36 + x + 6x = 5(x + -4) + -32 Combine like terms: x + 6x = 7x -36 + 7x = 5(x + -4) + -32 Reorder the terms: -36 + 7x = 5(-4 + x) + -32 -36 + 7x = (-4 * 5 + x * 5) + -32 -36 + 7x = (-20 + 5x) + -32 Reorder the terms: -36 + 7x = -20 + -32 + 5x Combine like terms: -20 + -32 = -52 -36 + 7x = -52 + 5x Solving -36 + 7x = -52 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 7x + -5x = -52 + 5x + -5x Combine like terms: 7x + -5x = 2x -36 + 2x = -52 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 2x = -52 + 0 -36 + 2x = -52 Add '36' to each side of the equation. -36 + 36 + 2x = -52 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -52 + 36 2x = -52 + 36 Combine like terms: -52 + 36 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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