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Simplifying (6x + -5) + -1(2x + 1) = 0 Reorder the terms: (-5 + 6x) + -1(2x + 1) = 0 Remove parenthesis around (-5 + 6x) -5 + 6x + -1(2x + 1) = 0 Reorder the terms: -5 + 6x + -1(1 + 2x) = 0 -5 + 6x + (1 * -1 + 2x * -1) = 0 -5 + 6x + (-1 + -2x) = 0 Reorder the terms: -5 + -1 + 6x + -2x = 0 Combine like terms: -5 + -1 = -6 -6 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -6 + 4x = 0 Solving -6 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 0 + 6 4x = 0 + 6 Combine like terms: 0 + 6 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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