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Simplifying 2(x + -1) = 2 + 2(1 + 7x) Reorder the terms: 2(-1 + x) = 2 + 2(1 + 7x) (-1 * 2 + x * 2) = 2 + 2(1 + 7x) (-2 + 2x) = 2 + 2(1 + 7x) -2 + 2x = 2 + (1 * 2 + 7x * 2) -2 + 2x = 2 + (2 + 14x) Combine like terms: 2 + 2 = 4 -2 + 2x = 4 + 14x Solving -2 + 2x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -2 + 2x + -14x = 4 + 14x + -14x Combine like terms: 2x + -14x = -12x -2 + -12x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -12x = 4 + 0 -2 + -12x = 4 Add '2' to each side of the equation. -2 + 2 + -12x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 4 + 2 -12x = 4 + 2 Combine like terms: 4 + 2 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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