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Simplifying -5x + 4 + -9x + -6 = 2x + -8 Reorder the terms: 4 + -6 + -5x + -9x = 2x + -8 Combine like terms: 4 + -6 = -2 -2 + -5x + -9x = 2x + -8 Combine like terms: -5x + -9x = -14x -2 + -14x = 2x + -8 Reorder the terms: -2 + -14x = -8 + 2x Solving -2 + -14x = -8 + 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. -2 + -14x + -2x = -8 + 2x + -2x Combine like terms: -14x + -2x = -16x -2 + -16x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -16x = -8 + 0 -2 + -16x = -8 Add '2' to each side of the equation. -2 + 2 + -16x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = -8 + 2 -16x = -8 + 2 Combine like terms: -8 + 2 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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