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Simplifying 5(3x + 6) + -1(8x + 1) = 0 Reorder the terms: 5(6 + 3x) + -1(8x + 1) = 0 (6 * 5 + 3x * 5) + -1(8x + 1) = 0 (30 + 15x) + -1(8x + 1) = 0 Reorder the terms: 30 + 15x + -1(1 + 8x) = 0 30 + 15x + (1 * -1 + 8x * -1) = 0 30 + 15x + (-1 + -8x) = 0 Reorder the terms: 30 + -1 + 15x + -8x = 0 Combine like terms: 30 + -1 = 29 29 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x 29 + 7x = 0 Solving 29 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 0 + -29 7x = 0 + -29 Combine like terms: 0 + -29 = -29 7x = -29 Divide each side by '7'. x = -4.142857143 Simplifying x = -4.142857143
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