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Simplifying 8[9 + -1(4x + -7)] + 7x = 0 Reorder the terms: 8[9 + -1(-7 + 4x)] + 7x = 0 8[9 + (-7 * -1 + 4x * -1)] + 7x = 0 8[9 + (7 + -4x)] + 7x = 0 Combine like terms: 9 + 7 = 16 8[16 + -4x] + 7x = 0 [16 * 8 + -4x * 8] + 7x = 0 [128 + -32x] + 7x = 0 Combine like terms: -32x + 7x = -25x 128 + -25x = 0 Solving 128 + -25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -128 + -25x = 0 + -128 Combine like terms: 128 + -128 = 0 0 + -25x = 0 + -128 -25x = 0 + -128 Combine like terms: 0 + -128 = -128 -25x = -128 Divide each side by '-25'. x = 5.12 Simplifying x = 5.12
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