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Simplifying 3x + 5(x + 9) + -4x = 0 Reorder the terms: 3x + 5(9 + x) + -4x = 0 3x + (9 * 5 + x * 5) + -4x = 0 3x + (45 + 5x) + -4x = 0 Reorder the terms: 45 + 3x + 5x + -4x = 0 Combine like terms: 3x + 5x = 8x 45 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x 45 + 4x = 0 Solving 45 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 4x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 0 + -45 4x = 0 + -45 Combine like terms: 0 + -45 = -45 4x = -45 Divide each side by '4'. x = -11.25 Simplifying x = -11.25
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