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Simplifying 3(x + 5) + -4(x + 9) = 0 Reorder the terms: 3(5 + x) + -4(x + 9) = 0 (5 * 3 + x * 3) + -4(x + 9) = 0 (15 + 3x) + -4(x + 9) = 0 Reorder the terms: 15 + 3x + -4(9 + x) = 0 15 + 3x + (9 * -4 + x * -4) = 0 15 + 3x + (-36 + -4x) = 0 Reorder the terms: 15 + -36 + 3x + -4x = 0 Combine like terms: 15 + -36 = -21 -21 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x -21 + -1x = 0 Solving -21 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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