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Simplifying X + -5(x + -2) = 7 + -1(2x + 5) Reorder the terms: X + -5(-2 + x) = 7 + -1(2x + 5) X + (-2 * -5 + x * -5) = 7 + -1(2x + 5) X + (10 + -5x) = 7 + -1(2x + 5) Reorder the terms: 10 + X + -5x = 7 + -1(2x + 5) Reorder the terms: 10 + X + -5x = 7 + -1(5 + 2x) 10 + X + -5x = 7 + (5 * -1 + 2x * -1) 10 + X + -5x = 7 + (-5 + -2x) Combine like terms: 7 + -5 = 2 10 + X + -5x = 2 + -2x Solving 10 + X + -5x = 2 + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + X + -10 + -5x = 2 + -10 + -2x Reorder the terms: 10 + -10 + X + -5x = 2 + -10 + -2x Combine like terms: 10 + -10 = 0 0 + X + -5x = 2 + -10 + -2x X + -5x = 2 + -10 + -2x Combine like terms: 2 + -10 = -8 X + -5x = -8 + -2x Add '5x' to each side of the equation. X + -5x + 5x = -8 + -2x + 5x Combine like terms: -5x + 5x = 0 X + 0 = -8 + -2x + 5x X = -8 + -2x + 5x Combine like terms: -2x + 5x = 3x X = -8 + 3x Simplifying X = -8 + 3x
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