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Simplifying 2(3x + -2) = 5 + -3x Reorder the terms: 2(-2 + 3x) = 5 + -3x (-2 * 2 + 3x * 2) = 5 + -3x (-4 + 6x) = 5 + -3x Solving -4 + 6x = 5 + -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 = 5 + -3x + 3x Combine like terms: 6x + 3x = 9x -4 + 9x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 9x = 5 + 0 -4 + 9x = 5 Add '4' to each side of the equation. -4 + 4 + 9x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 5 + 4 9x = 5 + 4 Combine like terms: 5 + 4 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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