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Simplifying 7(3x + 8) + -3(2x + -1) = 0 Reorder the terms: 7(8 + 3x) + -3(2x + -1) = 0 (8 * 7 + 3x * 7) + -3(2x + -1) = 0 (56 + 21x) + -3(2x + -1) = 0 Reorder the terms: 56 + 21x + -3(-1 + 2x) = 0 56 + 21x + (-1 * -3 + 2x * -3) = 0 56 + 21x + (3 + -6x) = 0 Reorder the terms: 56 + 3 + 21x + -6x = 0 Combine like terms: 56 + 3 = 59 59 + 21x + -6x = 0 Combine like terms: 21x + -6x = 15x 59 + 15x = 0 Solving 59 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 15x = 0 + -59 Combine like terms: 59 + -59 = 0 0 + 15x = 0 + -59 15x = 0 + -59 Combine like terms: 0 + -59 = -59 15x = -59 Divide each side by '15'. x = -3.933333333 Simplifying x = -3.933333333
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