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Simplifying 2(x + -1) = 3x + 1 + -2(-7x + -1) Reorder the terms: 2(-1 + x) = 3x + 1 + -2(-7x + -1) (-1 * 2 + x * 2) = 3x + 1 + -2(-7x + -1) (-2 + 2x) = 3x + 1 + -2(-7x + -1) Reorder the terms: -2 + 2x = 3x + 1 + -2(-1 + -7x) -2 + 2x = 3x + 1 + (-1 * -2 + -7x * -2) -2 + 2x = 3x + 1 + (2 + 14x) Reorder the terms: -2 + 2x = 1 + 2 + 3x + 14x Combine like terms: 1 + 2 = 3 -2 + 2x = 3 + 3x + 14x Combine like terms: 3x + 14x = 17x -2 + 2x = 3 + 17x Solving -2 + 2x = 3 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -2 + 2x + -17x = 3 + 17x + -17x Combine like terms: 2x + -17x = -15x -2 + -15x = 3 + 17x + -17x Combine like terms: 17x + -17x = 0 -2 + -15x = 3 + 0 -2 + -15x = 3 Add '2' to each side of the equation. -2 + 2 + -15x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = 3 + 2 -15x = 3 + 2 Combine like terms: 3 + 2 = 5 -15x = 5 Divide each side by '-15'. x = -0.3333333333 Simplifying x = -0.3333333333
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