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Simplifying 2(x + 1) + 2x = 5x + (2x + 6) * 2 Reorder the terms: 2(1 + x) + 2x = 5x + (2x + 6) * 2 (1 * 2 + x * 2) + 2x = 5x + (2x + 6) * 2 (2 + 2x) + 2x = 5x + (2x + 6) * 2 Combine like terms: 2x + 2x = 4x 2 + 4x = 5x + (2x + 6) * 2 Reorder the terms: 2 + 4x = 5x + (6 + 2x) * 2 Reorder the terms for easier multiplication: 2 + 4x = 5x + 2(6 + 2x) 2 + 4x = 5x + (6 * 2 + 2x * 2) 2 + 4x = 5x + (12 + 4x) Reorder the terms: 2 + 4x = 12 + 5x + 4x Combine like terms: 5x + 4x = 9x 2 + 4x = 12 + 9x Solving 2 + 4x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 4x + -9x = 12 + 9x + -9x Combine like terms: 4x + -9x = -5x 2 + -5x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -5x = 12 + 0 2 + -5x = 12 Add '-2' to each side of the equation. 2 + -2 + -5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 12 + -2 -5x = 12 + -2 Combine like terms: 12 + -2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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