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Simplifying 2(3x + 6) = 5(6x + -4) Reorder the terms: 2(6 + 3x) = 5(6x + -4) (6 * 2 + 3x * 2) = 5(6x + -4) (12 + 6x) = 5(6x + -4) Reorder the terms: 12 + 6x = 5(-4 + 6x) 12 + 6x = (-4 * 5 + 6x * 5) 12 + 6x = (-20 + 30x) Solving 12 + 6x = -20 + 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 = -20 + 30x + -30x Combine like terms: 6x + -30x = -24x 12 + -24x = -20 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -24x = -20 + 0 12 + -24x = -20 Add '-12' to each side of the equation. 12 + -12 + -24x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = -20 + -12 -24x = -20 + -12 Combine like terms: -20 + -12 = -32 -24x = -32 Divide each side by '-24'. x = 1.333333333 Simplifying x = 1.333333333
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