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Simplifying 7 + -8x + -2 = -38 + 3x + -12 Reorder the terms: 7 + -2 + -8x = -38 + 3x + -12 Combine like terms: 7 + -2 = 5 5 + -8x = -38 + 3x + -12 Reorder the terms: 5 + -8x = -38 + -12 + 3x Combine like terms: -38 + -12 = -50 5 + -8x = -50 + 3x Solving 5 + -8x = -50 + 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. 5 + -8x + -3x = -50 + 3x + -3x Combine like terms: -8x + -3x = -11x 5 + -11x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -11x = -50 + 0 5 + -11x = -50 Add '-5' to each side of the equation. 5 + -5 + -11x = -50 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = -50 + -5 -11x = -50 + -5 Combine like terms: -50 + -5 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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