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Simplifying 2x + -7 + -5x = -12 + 8x + -9 Reorder the terms: -7 + 2x + -5x = -12 + 8x + -9 Combine like terms: 2x + -5x = -3x -7 + -3x = -12 + 8x + -9 Reorder the terms: -7 + -3x = -12 + -9 + 8x Combine like terms: -12 + -9 = -21 -7 + -3x = -21 + 8x Solving -7 + -3x = -21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + -3x + -8x = -21 + 8x + -8x Combine like terms: -3x + -8x = -11x -7 + -11x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -11x = -21 + 0 -7 + -11x = -21 Add '7' to each side of the equation. -7 + 7 + -11x = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -11x = -21 + 7 -11x = -21 + 7 Combine like terms: -21 + 7 = -14 -11x = -14 Divide each side by '-11'. x = 1.272727273 Simplifying x = 1.272727273
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