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Simplifying 6[9 + -1(4x + -7)] + 7x = 0 Reorder the terms: 6[9 + -1(-7 + 4x)] + 7x = 0 6[9 + (-7 * -1 + 4x * -1)] + 7x = 0 6[9 + (7 + -4x)] + 7x = 0 Combine like terms: 9 + 7 = 16 6[16 + -4x] + 7x = 0 [16 * 6 + -4x * 6] + 7x = 0 [96 + -24x] + 7x = 0 Combine like terms: -24x + 7x = -17x 96 + -17x = 0 Solving 96 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -17x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -17x = 0 + -96 -17x = 0 + -96 Combine like terms: 0 + -96 = -96 -17x = -96 Divide each side by '-17'. x = 5.647058824 Simplifying x = 5.647058824
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