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Simplifying 1 + 2(3 + -2x) = 5 + -2(3x + -1) 1 + (3 * 2 + -2x * 2) = 5 + -2(3x + -1) 1 + (6 + -4x) = 5 + -2(3x + -1) Combine like terms: 1 + 6 = 7 7 + -4x = 5 + -2(3x + -1) Reorder the terms: 7 + -4x = 5 + -2(-1 + 3x) 7 + -4x = 5 + (-1 * -2 + 3x * -2) 7 + -4x = 5 + (2 + -6x) Combine like terms: 5 + 2 = 7 7 + -4x = 7 + -6x Add '-7' to each side of the equation. 7 + -7 + -4x = 7 + -7 + -6x Combine like terms: 7 + -7 = 0 0 + -4x = 7 + -7 + -6x -4x = 7 + -7 + -6x Combine like terms: 7 + -7 = 0 -4x = 0 + -6x -4x = -6x Solving -4x = -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. -4x + 6x = -6x + 6x Combine like terms: -4x + 6x = 2x 2x = -6x + 6x Combine like terms: -6x + 6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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