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