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Simplifying -5(x + 1) = 2(x + -5) Reorder the terms: -5(1 + x) = 2(x + -5) (1 * -5 + x * -5) = 2(x + -5) (-5 + -5x) = 2(x + -5) Reorder the terms: -5 + -5x = 2(-5 + x) -5 + -5x = (-5 * 2 + x * 2) -5 + -5x = (-10 + 2x) Solving -5 + -5x = -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 + -5x + -2x = -10 + 2x + -2x Combine like terms: -5x + -2x = -7x -5 + -7x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -7x = -10 + 0 -5 + -7x = -10 Add '5' to each side of the equation. -5 + 5 + -7x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -10 + 5 -7x = -10 + 5 Combine like terms: -10 + 5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143
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