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Simplifying (4x + 9) + -5(2x + 3) + 1 = 0 Reorder the terms: (9 + 4x) + -5(2x + 3) + 1 = 0 Remove parenthesis around (9 + 4x) 9 + 4x + -5(2x + 3) + 1 = 0 Reorder the terms: 9 + 4x + -5(3 + 2x) + 1 = 0 9 + 4x + (3 * -5 + 2x * -5) + 1 = 0 9 + 4x + (-15 + -10x) + 1 = 0 Reorder the terms: 9 + -15 + 1 + 4x + -10x = 0 Combine like terms: 9 + -15 = -6 -6 + 1 + 4x + -10x = 0 Combine like terms: -6 + 1 = -5 -5 + 4x + -10x = 0 Combine like terms: 4x + -10x = -6x -5 + -6x = 0 Solving -5 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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