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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 = 2 -10 + -4x = 2 + -2x Solving -10 + -4x = 2 + -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 = 2 + -2x + 2x Combine like terms: -4x + 2x = -2x -10 + -2x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -2x = 2 + 0 -10 + -2x = 2 Add '10' to each side of the equation. -10 + 10 + -2x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 2 + 10 -2x = 2 + 10 Combine like terms: 2 + 10 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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