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Simplifying 6(x + -6) + -8(x + 2) = 12 Reorder the terms: 6(-6 + x) + -8(x + 2) = 12 (-6 * 6 + x * 6) + -8(x + 2) = 12 (-36 + 6x) + -8(x + 2) = 12 Reorder the terms: -36 + 6x + -8(2 + x) = 12 -36 + 6x + (2 * -8 + x * -8) = 12 -36 + 6x + (-16 + -8x) = 12 Reorder the terms: -36 + -16 + 6x + -8x = 12 Combine like terms: -36 + -16 = -52 -52 + 6x + -8x = 12 Combine like terms: 6x + -8x = -2x -52 + -2x = 12 Solving -52 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -2x = 12 + 52 Combine like terms: -52 + 52 = 0 0 + -2x = 12 + 52 -2x = 12 + 52 Combine like terms: 12 + 52 = 64 -2x = 64 Divide each side by '-2'. x = -32 Simplifying x = -32
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