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Simplifying 2(2x + 3) = 5(2x + -4) Reorder the terms: 2(3 + 2x) = 5(2x + -4) (3 * 2 + 2x * 2) = 5(2x + -4) (6 + 4x) = 5(2x + -4) Reorder the terms: 6 + 4x = 5(-4 + 2x) 6 + 4x = (-4 * 5 + 2x * 5) 6 + 4x = (-20 + 10x) Solving 6 + 4x = -20 + 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. 6 + 4x + -10x = -20 + 10x + -10x Combine like terms: 4x + -10x = -6x 6 + -6x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -6x = -20 + 0 6 + -6x = -20 Add '-6' to each side of the equation. 6 + -6 + -6x = -20 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -20 + -6 -6x = -20 + -6 Combine like terms: -20 + -6 = -26 -6x = -26 Divide each side by '-6'. x = 4.333333333 Simplifying x = 4.333333333
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