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Simplifying 3(x + 2) + -2(2x + 3) = 13 Reorder the terms: 3(2 + x) + -2(2x + 3) = 13 (2 * 3 + x * 3) + -2(2x + 3) = 13 (6 + 3x) + -2(2x + 3) = 13 Reorder the terms: 6 + 3x + -2(3 + 2x) = 13 6 + 3x + (3 * -2 + 2x * -2) = 13 6 + 3x + (-6 + -4x) = 13 Reorder the terms: 6 + -6 + 3x + -4x = 13 Combine like terms: 6 + -6 = 0 0 + 3x + -4x = 13 3x + -4x = 13 Combine like terms: 3x + -4x = -1x -1x = 13 Solving -1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -13 Simplifying x = -13
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