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Simplifying 204 = -6 + -7(4x + -6) Reorder the terms: 204 = -6 + -7(-6 + 4x) 204 = -6 + (-6 * -7 + 4x * -7) 204 = -6 + (42 + -28x) Combine like terms: -6 + 42 = 36 204 = 36 + -28x Solving 204 = 36 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 204 + 28x = 36 + -28x + 28x Combine like terms: -28x + 28x = 0 204 + 28x = 36 + 0 204 + 28x = 36 Add '-204' to each side of the equation. 204 + -204 + 28x = 36 + -204 Combine like terms: 204 + -204 = 0 0 + 28x = 36 + -204 28x = 36 + -204 Combine like terms: 36 + -204 = -168 28x = -168 Divide each side by '28'. x = -6 Simplifying x = -6
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