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Simplifying 2 + -5(3x + -2) = 7 + -1(5x + -5) Reorder the terms: 2 + -5(-2 + 3x) = 7 + -1(5x + -5) 2 + (-2 * -5 + 3x * -5) = 7 + -1(5x + -5) 2 + (10 + -15x) = 7 + -1(5x + -5) Combine like terms: 2 + 10 = 12 12 + -15x = 7 + -1(5x + -5) Reorder the terms: 12 + -15x = 7 + -1(-5 + 5x) 12 + -15x = 7 + (-5 * -1 + 5x * -1) 12 + -15x = 7 + (5 + -5x) Combine like terms: 7 + 5 = 12 12 + -15x = 12 + -5x Add '-12' to each side of the equation. 12 + -12 + -15x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 0 + -15x = 12 + -12 + -5x -15x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 -15x = 0 + -5x -15x = -5x Solving -15x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15x + 5x = -5x + 5x Combine like terms: -15x + 5x = -10x -10x = -5x + 5x Combine like terms: -5x + 5x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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