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Simplifying 5(4x + -6) + -1(3x + 4) = 0 Reorder the terms: 5(-6 + 4x) + -1(3x + 4) = 0 (-6 * 5 + 4x * 5) + -1(3x + 4) = 0 (-30 + 20x) + -1(3x + 4) = 0 Reorder the terms: -30 + 20x + -1(4 + 3x) = 0 -30 + 20x + (4 * -1 + 3x * -1) = 0 -30 + 20x + (-4 + -3x) = 0 Reorder the terms: -30 + -4 + 20x + -3x = 0 Combine like terms: -30 + -4 = -34 -34 + 20x + -3x = 0 Combine like terms: 20x + -3x = 17x -34 + 17x = 0 Solving -34 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 17x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 0 + 34 17x = 0 + 34 Combine like terms: 0 + 34 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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