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Simplifying -204 = -4(8x + 3) Reorder the terms: -204 = -4(3 + 8x) -204 = (3 * -4 + 8x * -4) -204 = (-12 + -32x) Solving -204 = -12 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -204 + 32x = -12 + -32x + 32x Combine like terms: -32x + 32x = 0 -204 + 32x = -12 + 0 -204 + 32x = -12 Add '204' to each side of the equation. -204 + 204 + 32x = -12 + 204 Combine like terms: -204 + 204 = 0 0 + 32x = -12 + 204 32x = -12 + 204 Combine like terms: -12 + 204 = 192 32x = 192 Divide each side by '32'. x = 6 Simplifying x = 6
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