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Simplifying 3(3x + -1) + -5(x + -3) = 0 Reorder the terms: 3(-1 + 3x) + -5(x + -3) = 0 (-1 * 3 + 3x * 3) + -5(x + -3) = 0 (-3 + 9x) + -5(x + -3) = 0 Reorder the terms: -3 + 9x + -5(-3 + x) = 0 -3 + 9x + (-3 * -5 + x * -5) = 0 -3 + 9x + (15 + -5x) = 0 Reorder the terms: -3 + 15 + 9x + -5x = 0 Combine like terms: -3 + 15 = 12 12 + 9x + -5x = 0 Combine like terms: 9x + -5x = 4x 12 + 4x = 0 Solving 12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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