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Simplifying 3(x + 3) + -5(x + 6) = 15 Reorder the terms: 3(3 + x) + -5(x + 6) = 15 (3 * 3 + x * 3) + -5(x + 6) = 15 (9 + 3x) + -5(x + 6) = 15 Reorder the terms: 9 + 3x + -5(6 + x) = 15 9 + 3x + (6 * -5 + x * -5) = 15 9 + 3x + (-30 + -5x) = 15 Reorder the terms: 9 + -30 + 3x + -5x = 15 Combine like terms: 9 + -30 = -21 -21 + 3x + -5x = 15 Combine like terms: 3x + -5x = -2x -21 + -2x = 15 Solving -21 + -2x = 15 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 = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 15 + 21 -2x = 15 + 21 Combine like terms: 15 + 21 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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