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Simplifying 3(2x + 4) = 5(6x + -1) Reorder the terms: 3(4 + 2x) = 5(6x + -1) (4 * 3 + 2x * 3) = 5(6x + -1) (12 + 6x) = 5(6x + -1) Reorder the terms: 12 + 6x = 5(-1 + 6x) 12 + 6x = (-1 * 5 + 6x * 5) 12 + 6x = (-5 + 30x) Solving 12 + 6x = -5 + 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. 12 + 6x + -30x = -5 + 30x + -30x Combine like terms: 6x + -30x = -24x 12 + -24x = -5 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -24x = -5 + 0 12 + -24x = -5 Add '-12' to each side of the equation. 12 + -12 + -24x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = -5 + -12 -24x = -5 + -12 Combine like terms: -5 + -12 = -17 -24x = -17 Divide each side by '-24'. x = 0.7083333333 Simplifying x = 0.7083333333
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