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