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Simplifying 3(x + 2) + -5(x + -3) = 45 Reorder the terms: 3(2 + x) + -5(x + -3) = 45 (2 * 3 + x * 3) + -5(x + -3) = 45 (6 + 3x) + -5(x + -3) = 45 Reorder the terms: 6 + 3x + -5(-3 + x) = 45 6 + 3x + (-3 * -5 + x * -5) = 45 6 + 3x + (15 + -5x) = 45 Reorder the terms: 6 + 15 + 3x + -5x = 45 Combine like terms: 6 + 15 = 21 21 + 3x + -5x = 45 Combine like terms: 3x + -5x = -2x 21 + -2x = 45 Solving 21 + -2x = 45 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 + -2x = 45 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 45 + -21 -2x = 45 + -21 Combine like terms: 45 + -21 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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