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Simplifying 3(x + -2) + 2x = -3(x + -2) Reorder the terms: 3(-2 + x) + 2x = -3(x + -2) (-2 * 3 + x * 3) + 2x = -3(x + -2) (-6 + 3x) + 2x = -3(x + -2) Combine like terms: 3x + 2x = 5x -6 + 5x = -3(x + -2) Reorder the terms: -6 + 5x = -3(-2 + x) -6 + 5x = (-2 * -3 + x * -3) -6 + 5x = (6 + -3x) Solving -6 + 5x = 6 + -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. -6 + 5x + 3x = 6 + -3x + 3x Combine like terms: 5x + 3x = 8x -6 + 8x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 8x = 6 + 0 -6 + 8x = 6 Add '6' to each side of the equation. -6 + 6 + 8x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 6 + 6 8x = 6 + 6 Combine like terms: 6 + 6 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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