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