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Simplifying 3x + -27 + -8x = 2x + -12 + -10 Reorder the terms: -27 + 3x + -8x = 2x + -12 + -10 Combine like terms: 3x + -8x = -5x -27 + -5x = 2x + -12 + -10 Reorder the terms: -27 + -5x = -12 + -10 + 2x Combine like terms: -12 + -10 = -22 -27 + -5x = -22 + 2x Solving -27 + -5x = -22 + 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. -27 + -5x + -2x = -22 + 2x + -2x Combine like terms: -5x + -2x = -7x -27 + -7x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + -7x = -22 + 0 -27 + -7x = -22 Add '27' to each side of the equation. -27 + 27 + -7x = -22 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = -22 + 27 -7x = -22 + 27 Combine like terms: -22 + 27 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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