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Simplifying (8x + 2) + -1(-4x + 9) = 0 Reorder the terms: (2 + 8x) + -1(-4x + 9) = 0 Remove parenthesis around (2 + 8x) 2 + 8x + -1(-4x + 9) = 0 Reorder the terms: 2 + 8x + -1(9 + -4x) = 0 2 + 8x + (9 * -1 + -4x * -1) = 0 2 + 8x + (-9 + 4x) = 0 Reorder the terms: 2 + -9 + 8x + 4x = 0 Combine like terms: 2 + -9 = -7 -7 + 8x + 4x = 0 Combine like terms: 8x + 4x = 12x -7 + 12x = 0 Solving -7 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 0 + 7 12x = 0 + 7 Combine like terms: 0 + 7 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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