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Simplifying 5[9 + -1(8x + -6)] + 7x = 0 Reorder the terms: 5[9 + -1(-6 + 8x)] + 7x = 0 5[9 + (-6 * -1 + 8x * -1)] + 7x = 0 5[9 + (6 + -8x)] + 7x = 0 Combine like terms: 9 + 6 = 15 5[15 + -8x] + 7x = 0 [15 * 5 + -8x * 5] + 7x = 0 [75 + -40x] + 7x = 0 Combine like terms: -40x + 7x = -33x 75 + -33x = 0 Solving 75 + -33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -33x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -33x = 0 + -75 -33x = 0 + -75 Combine like terms: 0 + -75 = -75 -33x = -75 Divide each side by '-33'. x = 2.272727273 Simplifying x = 2.272727273
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