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Simplifying -8x + -6x + x + 8 = -31 + 3x + -7 Reorder the terms: 8 + -8x + -6x + x = -31 + 3x + -7 Combine like terms: -8x + -6x = -14x 8 + -14x + x = -31 + 3x + -7 Combine like terms: -14x + x = -13x 8 + -13x = -31 + 3x + -7 Reorder the terms: 8 + -13x = -31 + -7 + 3x Combine like terms: -31 + -7 = -38 8 + -13x = -38 + 3x Solving 8 + -13x = -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 + -13x + -3x = -38 + 3x + -3x Combine like terms: -13x + -3x = -16x 8 + -16x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -16x = -38 + 0 8 + -16x = -38 Add '-8' to each side of the equation. 8 + -8 + -16x = -38 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = -38 + -8 -16x = -38 + -8 Combine like terms: -38 + -8 = -46 -16x = -46 Divide each side by '-16'. x = 2.875 Simplifying x = 2.875
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