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Simplifying 2(2x + 5) + 6 = 2x + 4 Reorder the terms: 2(5 + 2x) + 6 = 2x + 4 (5 * 2 + 2x * 2) + 6 = 2x + 4 (10 + 4x) + 6 = 2x + 4 Reorder the terms: 10 + 6 + 4x = 2x + 4 Combine like terms: 10 + 6 = 16 16 + 4x = 2x + 4 Reorder the terms: 16 + 4x = 4 + 2x Solving 16 + 4x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 4x + -2x = 4 + 2x + -2x Combine like terms: 4x + -2x = 2x 16 + 2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 2x = 4 + 0 16 + 2x = 4 Add '-16' to each side of the equation. 16 + -16 + 2x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 4 + -16 2x = 4 + -16 Combine like terms: 4 + -16 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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