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Simplifying -1x + 12 + -6 + 3x + 4 = -5 + -2x + -1x Reorder the terms: 12 + -6 + 4 + -1x + 3x = -5 + -2x + -1x Combine like terms: 12 + -6 = 6 6 + 4 + -1x + 3x = -5 + -2x + -1x Combine like terms: 6 + 4 = 10 10 + -1x + 3x = -5 + -2x + -1x Combine like terms: -1x + 3x = 2x 10 + 2x = -5 + -2x + -1x Combine like terms: -2x + -1x = -3x 10 + 2x = -5 + -3x Solving 10 + 2x = -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. 10 + 2x + 3x = -5 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = -5 + 0 10 + 5x = -5 Add '-10' to each side of the equation. 10 + -10 + 5x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -5 + -10 5x = -5 + -10 Combine like terms: -5 + -10 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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