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Simplifying 2(3x + 2) + -6(5x + -7) = 0 Reorder the terms: 2(2 + 3x) + -6(5x + -7) = 0 (2 * 2 + 3x * 2) + -6(5x + -7) = 0 (4 + 6x) + -6(5x + -7) = 0 Reorder the terms: 4 + 6x + -6(-7 + 5x) = 0 4 + 6x + (-7 * -6 + 5x * -6) = 0 4 + 6x + (42 + -30x) = 0 Reorder the terms: 4 + 42 + 6x + -30x = 0 Combine like terms: 4 + 42 = 46 46 + 6x + -30x = 0 Combine like terms: 6x + -30x = -24x 46 + -24x = 0 Solving 46 + -24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -24x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -24x = 0 + -46 -24x = 0 + -46 Combine like terms: 0 + -46 = -46 -24x = -46 Divide each side by '-24'. x = 1.916666667 Simplifying x = 1.916666667
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