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Simplifying 3x + -5 = -12 + -2x + -3 Reorder the terms: -5 + 3x = -12 + -2x + -3 Reorder the terms: -5 + 3x = -12 + -3 + -2x Combine like terms: -12 + -3 = -15 -5 + 3x = -15 + -2x Solving -5 + 3x = -15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 3x + 2x = -15 + -2x + 2x Combine like terms: 3x + 2x = 5x -5 + 5x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 5x = -15 + 0 -5 + 5x = -15 Add '5' to each side of the equation. -5 + 5 + 5x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -15 + 5 5x = -15 + 5 Combine like terms: -15 + 5 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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