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Simplifying x + -5x + -10 = 9 + 2x + 7 Reorder the terms: -10 + x + -5x = 9 + 2x + 7 Combine like terms: x + -5x = -4x -10 + -4x = 9 + 2x + 7 Reorder the terms: -10 + -4x = 9 + 7 + 2x Combine like terms: 9 + 7 = 16 -10 + -4x = 16 + 2x Solving -10 + -4x = 16 + 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. -10 + -4x + -2x = 16 + 2x + -2x Combine like terms: -4x + -2x = -6x -10 + -6x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -6x = 16 + 0 -10 + -6x = 16 Add '10' to each side of the equation. -10 + 10 + -6x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 16 + 10 -6x = 16 + 10 Combine like terms: 16 + 10 = 26 -6x = 26 Divide each side by '-6'. x = -4.333333333 Simplifying x = -4.333333333
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