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Simplifying 6x + -3(-7x + 4) = 204 Reorder the terms: 6x + -3(4 + -7x) = 204 6x + (4 * -3 + -7x * -3) = 204 6x + (-12 + 21x) = 204 Reorder the terms: -12 + 6x + 21x = 204 Combine like terms: 6x + 21x = 27x -12 + 27x = 204 Solving -12 + 27x = 204 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 27x = 204 + 12 Combine like terms: -12 + 12 = 0 0 + 27x = 204 + 12 27x = 204 + 12 Combine like terms: 204 + 12 = 216 27x = 216 Divide each side by '27'. x = 8 Simplifying x = 8
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