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Simplifying 3 = (3 + 2x) + -2(1 + 3x) Remove parenthesis around (3 + 2x) 3 = 3 + 2x + -2(1 + 3x) 3 = 3 + 2x + (1 * -2 + 3x * -2) 3 = 3 + 2x + (-2 + -6x) Reorder the terms: 3 = 3 + -2 + 2x + -6x Combine like terms: 3 + -2 = 1 3 = 1 + 2x + -6x Combine like terms: 2x + -6x = -4x 3 = 1 + -4x Solving 3 = 1 + -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. 3 + 4x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 4x = 1 + 0 3 + 4x = 1 Add '-3' to each side of the equation. 3 + -3 + 4x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 1 + -3 4x = 1 + -3 Combine like terms: 1 + -3 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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