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Simplifying 6(3x + 5) = 5(6x + -7) Reorder the terms: 6(5 + 3x) = 5(6x + -7) (5 * 6 + 3x * 6) = 5(6x + -7) (30 + 18x) = 5(6x + -7) Reorder the terms: 30 + 18x = 5(-7 + 6x) 30 + 18x = (-7 * 5 + 6x * 5) 30 + 18x = (-35 + 30x) Solving 30 + 18x = -35 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 30 + 18x + -30x = -35 + 30x + -30x Combine like terms: 18x + -30x = -12x 30 + -12x = -35 + 30x + -30x Combine like terms: 30x + -30x = 0 30 + -12x = -35 + 0 30 + -12x = -35 Add '-30' to each side of the equation. 30 + -30 + -12x = -35 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = -35 + -30 -12x = -35 + -30 Combine like terms: -35 + -30 = -65 -12x = -65 Divide each side by '-12'. x = 5.416666667 Simplifying x = 5.416666667
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