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Simplifying 3(2x + 3) + -7(x + 2) = 0 Reorder the terms: 3(3 + 2x) + -7(x + 2) = 0 (3 * 3 + 2x * 3) + -7(x + 2) = 0 (9 + 6x) + -7(x + 2) = 0 Reorder the terms: 9 + 6x + -7(2 + x) = 0 9 + 6x + (2 * -7 + x * -7) = 0 9 + 6x + (-14 + -7x) = 0 Reorder the terms: 9 + -14 + 6x + -7x = 0 Combine like terms: 9 + -14 = -5 -5 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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