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Simplifying x + -1(3x + 2) = 5x + 14 + -8 Reorder the terms: x + -1(2 + 3x) = 5x + 14 + -8 x + (2 * -1 + 3x * -1) = 5x + 14 + -8 x + (-2 + -3x) = 5x + 14 + -8 Reorder the terms: -2 + x + -3x = 5x + 14 + -8 Combine like terms: x + -3x = -2x -2 + -2x = 5x + 14 + -8 Reorder the terms: -2 + -2x = 14 + -8 + 5x Combine like terms: 14 + -8 = 6 -2 + -2x = 6 + 5x Solving -2 + -2x = 6 + 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. -2 + -2x + -5x = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x -2 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -7x = 6 + 0 -2 + -7x = 6 Add '2' to each side of the equation. -2 + 2 + -7x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 6 + 2 -7x = 6 + 2 Combine like terms: 6 + 2 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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