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Simplifying 8[9 + -1(-7x + -5)] = 504x + 432 Reorder the terms: 8[9 + -1(-5 + -7x)] = 504x + 432 8[9 + (-5 * -1 + -7x * -1)] = 504x + 432 8[9 + (5 + 7x)] = 504x + 432 Combine like terms: 9 + 5 = 14 8[14 + 7x] = 504x + 432 [14 * 8 + 7x * 8] = 504x + 432 [112 + 56x] = 504x + 432 Reorder the terms: 112 + 56x = 432 + 504x Solving 112 + 56x = 432 + 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. 112 + 56x + -504x = 432 + 504x + -504x Combine like terms: 56x + -504x = -448x 112 + -448x = 432 + 504x + -504x Combine like terms: 504x + -504x = 0 112 + -448x = 432 + 0 112 + -448x = 432 Add '-112' to each side of the equation. 112 + -112 + -448x = 432 + -112 Combine like terms: 112 + -112 = 0 0 + -448x = 432 + -112 -448x = 432 + -112 Combine like terms: 432 + -112 = 320 -448x = 320 Divide each side by '-448'. x = -0.7142857143 Simplifying x = -0.7142857143
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