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Simplifying (2x + 1) + -1(-4x + -9) = 0 Reorder the terms: (1 + 2x) + -1(-4x + -9) = 0 Remove parenthesis around (1 + 2x) 1 + 2x + -1(-4x + -9) = 0 Reorder the terms: 1 + 2x + -1(-9 + -4x) = 0 1 + 2x + (-9 * -1 + -4x * -1) = 0 1 + 2x + (9 + 4x) = 0 Reorder the terms: 1 + 9 + 2x + 4x = 0 Combine like terms: 1 + 9 = 10 10 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x 10 + 6x = 0 Solving 10 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 0 + -10 6x = 0 + -10 Combine like terms: 0 + -10 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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