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Simplifying 2(x + -3) + 3(x + 9) = -29 Reorder the terms: 2(-3 + x) + 3(x + 9) = -29 (-3 * 2 + x * 2) + 3(x + 9) = -29 (-6 + 2x) + 3(x + 9) = -29 Reorder the terms: -6 + 2x + 3(9 + x) = -29 -6 + 2x + (9 * 3 + x * 3) = -29 -6 + 2x + (27 + 3x) = -29 Reorder the terms: -6 + 27 + 2x + 3x = -29 Combine like terms: -6 + 27 = 21 21 + 2x + 3x = -29 Combine like terms: 2x + 3x = 5x 21 + 5x = -29 Solving 21 + 5x = -29 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 + 5x = -29 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = -29 + -21 5x = -29 + -21 Combine like terms: -29 + -21 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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