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Simplifying (11x + -9) + -1(-4x + 6) = 0 Reorder the terms: (-9 + 11x) + -1(-4x + 6) = 0 Remove parenthesis around (-9 + 11x) -9 + 11x + -1(-4x + 6) = 0 Reorder the terms: -9 + 11x + -1(6 + -4x) = 0 -9 + 11x + (6 * -1 + -4x * -1) = 0 -9 + 11x + (-6 + 4x) = 0 Reorder the terms: -9 + -6 + 11x + 4x = 0 Combine like terms: -9 + -6 = -15 -15 + 11x + 4x = 0 Combine like terms: 11x + 4x = 15x -15 + 15x = 0 Solving -15 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 0 + 15 15x = 0 + 15 Combine like terms: 0 + 15 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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