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Simplifying 2(2x + 6) + 4 = 2(5x + 4) Reorder the terms: 2(6 + 2x) + 4 = 2(5x + 4) (6 * 2 + 2x * 2) + 4 = 2(5x + 4) (12 + 4x) + 4 = 2(5x + 4) Reorder the terms: 12 + 4 + 4x = 2(5x + 4) Combine like terms: 12 + 4 = 16 16 + 4x = 2(5x + 4) Reorder the terms: 16 + 4x = 2(4 + 5x) 16 + 4x = (4 * 2 + 5x * 2) 16 + 4x = (8 + 10x) Solving 16 + 4x = 8 + 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. 16 + 4x + -10x = 8 + 10x + -10x Combine like terms: 4x + -10x = -6x 16 + -6x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + -6x = 8 + 0 16 + -6x = 8 Add '-16' to each side of the equation. 16 + -16 + -6x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 8 + -16 -6x = 8 + -16 Combine like terms: 8 + -16 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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