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Simplifying -8(x + -3) = 2(c + 32) Reorder the terms: -8(-3 + x) = 2(c + 32) (-3 * -8 + x * -8) = 2(c + 32) (24 + -8x) = 2(c + 32) Reorder the terms: 24 + -8x = 2(32 + c) 24 + -8x = (32 * 2 + c * 2) 24 + -8x = (64 + 2c) Solving 24 + -8x = 64 + 2c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8x = 64 + -24 + 2c Combine like terms: 24 + -24 = 0 0 + -8x = 64 + -24 + 2c -8x = 64 + -24 + 2c Combine like terms: 64 + -24 = 40 -8x = 40 + 2c Divide each side by '-8'. x = -5 + -0.25c Simplifying x = -5 + -0.25c
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