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Simplifying 5(2x + -6) + -4(x + -7) = 0 Reorder the terms: 5(-6 + 2x) + -4(x + -7) = 0 (-6 * 5 + 2x * 5) + -4(x + -7) = 0 (-30 + 10x) + -4(x + -7) = 0 Reorder the terms: -30 + 10x + -4(-7 + x) = 0 -30 + 10x + (-7 * -4 + x * -4) = 0 -30 + 10x + (28 + -4x) = 0 Reorder the terms: -30 + 28 + 10x + -4x = 0 Combine like terms: -30 + 28 = -2 -2 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -2 + 6x = 0 Solving -2 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 0 + 2 6x = 0 + 2 Combine like terms: 0 + 2 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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