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Simplifying -204 = -6 + 6(5x + -8) Reorder the terms: -204 = -6 + 6(-8 + 5x) -204 = -6 + (-8 * 6 + 5x * 6) -204 = -6 + (-48 + 30x) Combine like terms: -6 + -48 = -54 -204 = -54 + 30x Solving -204 = -54 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -204 + -30x = -54 + 30x + -30x Combine like terms: 30x + -30x = 0 -204 + -30x = -54 + 0 -204 + -30x = -54 Add '204' to each side of the equation. -204 + 204 + -30x = -54 + 204 Combine like terms: -204 + 204 = 0 0 + -30x = -54 + 204 -30x = -54 + 204 Combine like terms: -54 + 204 = 150 -30x = 150 Divide each side by '-30'. x = -5 Simplifying x = -5
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