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Simplifying -7(x + 6) + 6(2x + -1) = 0 Reorder the terms: -7(6 + x) + 6(2x + -1) = 0 (6 * -7 + x * -7) + 6(2x + -1) = 0 (-42 + -7x) + 6(2x + -1) = 0 Reorder the terms: -42 + -7x + 6(-1 + 2x) = 0 -42 + -7x + (-1 * 6 + 2x * 6) = 0 -42 + -7x + (-6 + 12x) = 0 Reorder the terms: -42 + -6 + -7x + 12x = 0 Combine like terms: -42 + -6 = -48 -48 + -7x + 12x = 0 Combine like terms: -7x + 12x = 5x -48 + 5x = 0 Solving -48 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 5x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = 0 + 48 5x = 0 + 48 Combine like terms: 0 + 48 = 48 5x = 48 Divide each side by '5'. x = 9.6 Simplifying x = 9.6
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