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Simplifying -8x + -6x + 8 = -31 + 3x + -7 Reorder the terms: 8 + -8x + -6x = -31 + 3x + -7 Combine like terms: -8x + -6x = -14x 8 + -14x = -31 + 3x + -7 Reorder the terms: 8 + -14x = -31 + -7 + 3x Combine like terms: -31 + -7 = -38 8 + -14x = -38 + 3x Solving 8 + -14x = -38 + 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. 8 + -14x + -3x = -38 + 3x + -3x Combine like terms: -14x + -3x = -17x 8 + -17x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -17x = -38 + 0 8 + -17x = -38 Add '-8' to each side of the equation. 8 + -8 + -17x = -38 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = -38 + -8 -17x = -38 + -8 Combine like terms: -38 + -8 = -46 -17x = -46 Divide each side by '-17'. x = 2.705882353 Simplifying x = 2.705882353
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