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Simplifying 4[9 + -1(4x + -5)] + 7x = 0 Reorder the terms: 4[9 + -1(-5 + 4x)] + 7x = 0 4[9 + (-5 * -1 + 4x * -1)] + 7x = 0 4[9 + (5 + -4x)] + 7x = 0 Combine like terms: 9 + 5 = 14 4[14 + -4x] + 7x = 0 [14 * 4 + -4x * 4] + 7x = 0 [56 + -16x] + 7x = 0 Combine like terms: -16x + 7x = -9x 56 + -9x = 0 Solving 56 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -9x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -9x = 0 + -56 -9x = 0 + -56 Combine like terms: 0 + -56 = -56 -9x = -56 Divide each side by '-9'. x = 6.222222222 Simplifying x = 6.222222222
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