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Simplifying (5x + 3) + -1(9x + 2) = 0 Reorder the terms: (3 + 5x) + -1(9x + 2) = 0 Remove parenthesis around (3 + 5x) 3 + 5x + -1(9x + 2) = 0 Reorder the terms: 3 + 5x + -1(2 + 9x) = 0 3 + 5x + (2 * -1 + 9x * -1) = 0 3 + 5x + (-2 + -9x) = 0 Reorder the terms: 3 + -2 + 5x + -9x = 0 Combine like terms: 3 + -2 = 1 1 + 5x + -9x = 0 Combine like terms: 5x + -9x = -4x 1 + -4x = 0 Solving 1 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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