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Simplifying 2(3x + -7) + -5(-2x + 6) = 0 Reorder the terms: 2(-7 + 3x) + -5(-2x + 6) = 0 (-7 * 2 + 3x * 2) + -5(-2x + 6) = 0 (-14 + 6x) + -5(-2x + 6) = 0 Reorder the terms: -14 + 6x + -5(6 + -2x) = 0 -14 + 6x + (6 * -5 + -2x * -5) = 0 -14 + 6x + (-30 + 10x) = 0 Reorder the terms: -14 + -30 + 6x + 10x = 0 Combine like terms: -14 + -30 = -44 -44 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x -44 + 16x = 0 Solving -44 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 16x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 16x = 0 + 44 16x = 0 + 44 Combine like terms: 0 + 44 = 44 16x = 44 Divide each side by '16'. x = 2.75 Simplifying x = 2.75
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