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Simplifying -32 = -8x + 6(y + -7) Reorder the terms: -32 = -8x + 6(-7 + y) -32 = -8x + (-7 * 6 + y * 6) -32 = -8x + (-42 + 6y) Reorder the terms: -32 = -42 + -8x + 6y Solving -32 = -42 + -8x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -32 + 8x = -42 + -8x + 8x + 6y Combine like terms: -8x + 8x = 0 -32 + 8x = -42 + 0 + 6y -32 + 8x = -42 + 6y Add '32' to each side of the equation. -32 + 32 + 8x = -42 + 32 + 6y Combine like terms: -32 + 32 = 0 0 + 8x = -42 + 32 + 6y 8x = -42 + 32 + 6y Combine like terms: -42 + 32 = -10 8x = -10 + 6y Divide each side by '8'. x = -1.25 + 0.75y Simplifying x = -1.25 + 0.75y
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