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Simplifying 5(6x + -7) + 3(8 + -2x) = 0 Reorder the terms: 5(-7 + 6x) + 3(8 + -2x) = 0 (-7 * 5 + 6x * 5) + 3(8 + -2x) = 0 (-35 + 30x) + 3(8 + -2x) = 0 -35 + 30x + (8 * 3 + -2x * 3) = 0 -35 + 30x + (24 + -6x) = 0 Reorder the terms: -35 + 24 + 30x + -6x = 0 Combine like terms: -35 + 24 = -11 -11 + 30x + -6x = 0 Combine like terms: 30x + -6x = 24x -11 + 24x = 0 Solving -11 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 24x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 24x = 0 + 11 24x = 0 + 11 Combine like terms: 0 + 11 = 11 24x = 11 Divide each side by '24'. x = 0.4583333333 Simplifying x = 0.4583333333
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