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Simplifying 2x + 3(x + -2) + 3x = -46 Reorder the terms: 2x + 3(-2 + x) + 3x = -46 2x + (-2 * 3 + x * 3) + 3x = -46 2x + (-6 + 3x) + 3x = -46 Reorder the terms: -6 + 2x + 3x + 3x = -46 Combine like terms: 2x + 3x = 5x -6 + 5x + 3x = -46 Combine like terms: 5x + 3x = 8x -6 + 8x = -46 Solving -6 + 8x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -46 + 6 8x = -46 + 6 Combine like terms: -46 + 6 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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