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Simplifying (7x + -12) + -1(2x + 1) = 0 Reorder the terms: (-12 + 7x) + -1(2x + 1) = 0 Remove parenthesis around (-12 + 7x) -12 + 7x + -1(2x + 1) = 0 Reorder the terms: -12 + 7x + -1(1 + 2x) = 0 -12 + 7x + (1 * -1 + 2x * -1) = 0 -12 + 7x + (-1 + -2x) = 0 Reorder the terms: -12 + -1 + 7x + -2x = 0 Combine like terms: -12 + -1 = -13 -13 + 7x + -2x = 0 Combine like terms: 7x + -2x = 5x -13 + 5x = 0 Solving -13 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 0 + 13 5x = 0 + 13 Combine like terms: 0 + 13 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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