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Simplifying 6[6 + -1(-9x + -4)] = 378x + 204 Reorder the terms: 6[6 + -1(-4 + -9x)] = 378x + 204 6[6 + (-4 * -1 + -9x * -1)] = 378x + 204 6[6 + (4 + 9x)] = 378x + 204 Combine like terms: 6 + 4 = 10 6[10 + 9x] = 378x + 204 [10 * 6 + 9x * 6] = 378x + 204 [60 + 54x] = 378x + 204 Reorder the terms: 60 + 54x = 204 + 378x Solving 60 + 54x = 204 + 378x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-378x' to each side of the equation. 60 + 54x + -378x = 204 + 378x + -378x Combine like terms: 54x + -378x = -324x 60 + -324x = 204 + 378x + -378x Combine like terms: 378x + -378x = 0 60 + -324x = 204 + 0 60 + -324x = 204 Add '-60' to each side of the equation. 60 + -60 + -324x = 204 + -60 Combine like terms: 60 + -60 = 0 0 + -324x = 204 + -60 -324x = 204 + -60 Combine like terms: 204 + -60 = 144 -324x = 144 Divide each side by '-324'. x = -0.4444444444 Simplifying x = -0.4444444444
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