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