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Simplifying 5(3x + -2) + -13x + -2 = 0 Reorder the terms: 5(-2 + 3x) + -13x + -2 = 0 (-2 * 5 + 3x * 5) + -13x + -2 = 0 (-10 + 15x) + -13x + -2 = 0 Reorder the terms: -10 + -2 + 15x + -13x = 0 Combine like terms: -10 + -2 = -12 -12 + 15x + -13x = 0 Combine like terms: 15x + -13x = 2x -12 + 2x = 0 Solving -12 + 2x = 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 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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