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Simplifying -2(x + 1) = x + -4 + 2(2x + 7) Reorder the terms: -2(1 + x) = x + -4 + 2(2x + 7) (1 * -2 + x * -2) = x + -4 + 2(2x + 7) (-2 + -2x) = x + -4 + 2(2x + 7) Reorder the terms: -2 + -2x = x + -4 + 2(7 + 2x) -2 + -2x = x + -4 + (7 * 2 + 2x * 2) -2 + -2x = x + -4 + (14 + 4x) Reorder the terms: -2 + -2x = -4 + 14 + x + 4x Combine like terms: -4 + 14 = 10 -2 + -2x = 10 + x + 4x Combine like terms: x + 4x = 5x -2 + -2x = 10 + 5x Solving -2 + -2x = 10 + 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 = 10 + 5x + -5x Combine like terms: -2x + -5x = -7x -2 + -7x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -7x = 10 + 0 -2 + -7x = 10 Add '2' to each side of the equation. -2 + 2 + -7x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 10 + 2 -7x = 10 + 2 Combine like terms: 10 + 2 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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