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Simplifying -6(x + 6) + 5(2x + 1) = 0 Reorder the terms: -6(6 + x) + 5(2x + 1) = 0 (6 * -6 + x * -6) + 5(2x + 1) = 0 (-36 + -6x) + 5(2x + 1) = 0 Reorder the terms: -36 + -6x + 5(1 + 2x) = 0 -36 + -6x + (1 * 5 + 2x * 5) = 0 -36 + -6x + (5 + 10x) = 0 Reorder the terms: -36 + 5 + -6x + 10x = 0 Combine like terms: -36 + 5 = -31 -31 + -6x + 10x = 0 Combine like terms: -6x + 10x = 4x -31 + 4x = 0 Solving -31 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 0 + 31 4x = 0 + 31 Combine like terms: 0 + 31 = 31 4x = 31 Divide each side by '4'. x = 7.75 Simplifying x = 7.75
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