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Simplifying 3(x + -3) + -5(2x + -6) = 0 Reorder the terms: 3(-3 + x) + -5(2x + -6) = 0 (-3 * 3 + x * 3) + -5(2x + -6) = 0 (-9 + 3x) + -5(2x + -6) = 0 Reorder the terms: -9 + 3x + -5(-6 + 2x) = 0 -9 + 3x + (-6 * -5 + 2x * -5) = 0 -9 + 3x + (30 + -10x) = 0 Reorder the terms: -9 + 30 + 3x + -10x = 0 Combine like terms: -9 + 30 = 21 21 + 3x + -10x = 0 Combine like terms: 3x + -10x = -7x 21 + -7x = 0 Solving 21 + -7x = 0 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 + -7x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 0 + -21 -7x = 0 + -21 Combine like terms: 0 + -21 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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