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Simplifying x + -1(5x + 2) = 3(x + -1) Reorder the terms: x + -1(2 + 5x) = 3(x + -1) x + (2 * -1 + 5x * -1) = 3(x + -1) x + (-2 + -5x) = 3(x + -1) Reorder the terms: -2 + x + -5x = 3(x + -1) Combine like terms: x + -5x = -4x -2 + -4x = 3(x + -1) Reorder the terms: -2 + -4x = 3(-1 + x) -2 + -4x = (-1 * 3 + x * 3) -2 + -4x = (-3 + 3x) Solving -2 + -4x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -4x + -3x = -3 + 3x + -3x Combine like terms: -4x + -3x = -7x -2 + -7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -7x = -3 + 0 -2 + -7x = -3 Add '2' to each side of the equation. -2 + 2 + -7x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -3 + 2 -7x = -3 + 2 Combine like terms: -3 + 2 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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