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Simplifying 2x + 6 = x + 2(1 + x) Reorder the terms: 6 + 2x = x + 2(1 + x) 6 + 2x = x + (1 * 2 + x * 2) 6 + 2x = x + (2 + 2x) Reorder the terms: 6 + 2x = 2 + x + 2x Combine like terms: x + 2x = 3x 6 + 2x = 2 + 3x Solving 6 + 2x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 2x + -3x = 2 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = 2 + 0 6 + -1x = 2 Add '-6' to each side of the equation. 6 + -6 + -1x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 2 + -6 -1x = 2 + -6 Combine like terms: 2 + -6 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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