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Simplifying (9x + -12) + -1(7x + -10) = 0 Reorder the terms: (-12 + 9x) + -1(7x + -10) = 0 Remove parenthesis around (-12 + 9x) -12 + 9x + -1(7x + -10) = 0 Reorder the terms: -12 + 9x + -1(-10 + 7x) = 0 -12 + 9x + (-10 * -1 + 7x * -1) = 0 -12 + 9x + (10 + -7x) = 0 Reorder the terms: -12 + 10 + 9x + -7x = 0 Combine like terms: -12 + 10 = -2 -2 + 9x + -7x = 0 Combine like terms: 9x + -7x = 2x -2 + 2x = 0 Solving -2 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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