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Simplifying 1 + 3(2x + 1) = 2x Reorder the terms: 1 + 3(1 + 2x) = 2x 1 + (1 * 3 + 2x * 3) = 2x 1 + (3 + 6x) = 2x Combine like terms: 1 + 3 = 4 4 + 6x = 2x Solving 4 + 6x = 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. 4 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4 + 4x = 0 Add '-4' to each side of the equation. 4 + -4 + 4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 0 + -4 4x = 0 + -4 Combine like terms: 0 + -4 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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