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Simplifying 3(2x + 4) = 2(5x) Reorder the terms: 3(4 + 2x) = 2(5x) (4 * 3 + 2x * 3) = 2(5x) (12 + 6x) = 2(5x) Remove parenthesis around (5x) 12 + 6x = 2 * 5x Multiply 2 * 5 12 + 6x = 10x Solving 12 + 6x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 6x + -10x = 10x + -10x Combine like terms: 6x + -10x = -4x 12 + -4x = 10x + -10x Combine like terms: 10x + -10x = 0 12 + -4x = 0 Add '-12' to each side of the equation. 12 + -12 + -4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 0 + -12 -4x = 0 + -12 Combine like terms: 0 + -12 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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