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Simplifying 2(5x + -7) + -6(2x + -3) = 0 Reorder the terms: 2(-7 + 5x) + -6(2x + -3) = 0 (-7 * 2 + 5x * 2) + -6(2x + -3) = 0 (-14 + 10x) + -6(2x + -3) = 0 Reorder the terms: -14 + 10x + -6(-3 + 2x) = 0 -14 + 10x + (-3 * -6 + 2x * -6) = 0 -14 + 10x + (18 + -12x) = 0 Reorder the terms: -14 + 18 + 10x + -12x = 0 Combine like terms: -14 + 18 = 4 4 + 10x + -12x = 0 Combine like terms: 10x + -12x = -2x 4 + -2x = 0 Solving 4 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 0 + -4 -2x = 0 + -4 Combine like terms: 0 + -4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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