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Simplifying 6(2x + -1) + 3(x + 7) = 0 Reorder the terms: 6(-1 + 2x) + 3(x + 7) = 0 (-1 * 6 + 2x * 6) + 3(x + 7) = 0 (-6 + 12x) + 3(x + 7) = 0 Reorder the terms: -6 + 12x + 3(7 + x) = 0 -6 + 12x + (7 * 3 + x * 3) = 0 -6 + 12x + (21 + 3x) = 0 Reorder the terms: -6 + 21 + 12x + 3x = 0 Combine like terms: -6 + 21 = 15 15 + 12x + 3x = 0 Combine like terms: 12x + 3x = 15x 15 + 15x = 0 Solving 15 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 15x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = 0 + -15 15x = 0 + -15 Combine like terms: 0 + -15 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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