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Simplifying 2(2x + 4) = 5(2x + 4) Reorder the terms: 2(4 + 2x) = 5(2x + 4) (4 * 2 + 2x * 2) = 5(2x + 4) (8 + 4x) = 5(2x + 4) Reorder the terms: 8 + 4x = 5(4 + 2x) 8 + 4x = (4 * 5 + 2x * 5) 8 + 4x = (20 + 10x) Solving 8 + 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. 8 + 4x + -10x = 20 + 10x + -10x Combine like terms: 4x + -10x = -6x 8 + -6x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -6x = 20 + 0 8 + -6x = 20 Add '-8' to each side of the equation. 8 + -8 + -6x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 20 + -8 -6x = 20 + -8 Combine like terms: 20 + -8 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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