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Simplifying 2(x + -3) + -5(x + 9) = 0 Reorder the terms: 2(-3 + x) + -5(x + 9) = 0 (-3 * 2 + x * 2) + -5(x + 9) = 0 (-6 + 2x) + -5(x + 9) = 0 Reorder the terms: -6 + 2x + -5(9 + x) = 0 -6 + 2x + (9 * -5 + x * -5) = 0 -6 + 2x + (-45 + -5x) = 0 Reorder the terms: -6 + -45 + 2x + -5x = 0 Combine like terms: -6 + -45 = -51 -51 + 2x + -5x = 0 Combine like terms: 2x + -5x = -3x -51 + -3x = 0 Solving -51 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -3x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -3x = 0 + 51 -3x = 0 + 51 Combine like terms: 0 + 51 = 51 -3x = 51 Divide each side by '-3'. x = -17 Simplifying x = -17
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