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Simplifying 7x + -1(5 + -3x) = 2(x + -5) 7x + (5 * -1 + -3x * -1) = 2(x + -5) 7x + (-5 + 3x) = 2(x + -5) Reorder the terms: -5 + 7x + 3x = 2(x + -5) Combine like terms: 7x + 3x = 10x -5 + 10x = 2(x + -5) Reorder the terms: -5 + 10x = 2(-5 + x) -5 + 10x = (-5 * 2 + x * 2) -5 + 10x = (-10 + 2x) Solving -5 + 10x = -10 + 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. -5 + 10x + -2x = -10 + 2x + -2x Combine like terms: 10x + -2x = 8x -5 + 8x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 8x = -10 + 0 -5 + 8x = -10 Add '5' to each side of the equation. -5 + 5 + 8x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -10 + 5 8x = -10 + 5 Combine like terms: -10 + 5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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