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Simplifying 5(3x + -4) + -2(x + 3) = 0 Reorder the terms: 5(-4 + 3x) + -2(x + 3) = 0 (-4 * 5 + 3x * 5) + -2(x + 3) = 0 (-20 + 15x) + -2(x + 3) = 0 Reorder the terms: -20 + 15x + -2(3 + x) = 0 -20 + 15x + (3 * -2 + x * -2) = 0 -20 + 15x + (-6 + -2x) = 0 Reorder the terms: -20 + -6 + 15x + -2x = 0 Combine like terms: -20 + -6 = -26 -26 + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x -26 + 13x = 0 Solving -26 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 13x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 13x = 0 + 26 13x = 0 + 26 Combine like terms: 0 + 26 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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