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Simplifying 7[7 + -1(-9x + -6)] = 504x + 385 Reorder the terms: 7[7 + -1(-6 + -9x)] = 504x + 385 7[7 + (-6 * -1 + -9x * -1)] = 504x + 385 7[7 + (6 + 9x)] = 504x + 385 Combine like terms: 7 + 6 = 13 7[13 + 9x] = 504x + 385 [13 * 7 + 9x * 7] = 504x + 385 [91 + 63x] = 504x + 385 Reorder the terms: 91 + 63x = 385 + 504x Solving 91 + 63x = 385 + 504x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-504x' to each side of the equation. 91 + 63x + -504x = 385 + 504x + -504x Combine like terms: 63x + -504x = -441x 91 + -441x = 385 + 504x + -504x Combine like terms: 504x + -504x = 0 91 + -441x = 385 + 0 91 + -441x = 385 Add '-91' to each side of the equation. 91 + -91 + -441x = 385 + -91 Combine like terms: 91 + -91 = 0 0 + -441x = 385 + -91 -441x = 385 + -91 Combine like terms: 385 + -91 = 294 -441x = 294 Divide each side by '-441'. x = -0.6666666667 Simplifying x = -0.6666666667
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