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Simplifying 3x + 13 = -2x + -12 Reorder the terms: 13 + 3x = -2x + -12 Reorder the terms: 13 + 3x = -12 + -2x Solving 13 + 3x = -12 + -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. 13 + 3x + 2x = -12 + -2x + 2x Combine like terms: 3x + 2x = 5x 13 + 5x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 5x = -12 + 0 13 + 5x = -12 Add '-13' to each side of the equation. 13 + -13 + 5x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = -12 + -13 5x = -12 + -13 Combine like terms: -12 + -13 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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