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Simplifying 2(x + -1) = 5 + 2(4x + 3) Reorder the terms: 2(-1 + x) = 5 + 2(4x + 3) (-1 * 2 + x * 2) = 5 + 2(4x + 3) (-2 + 2x) = 5 + 2(4x + 3) Reorder the terms: -2 + 2x = 5 + 2(3 + 4x) -2 + 2x = 5 + (3 * 2 + 4x * 2) -2 + 2x = 5 + (6 + 8x) Combine like terms: 5 + 6 = 11 -2 + 2x = 11 + 8x Solving -2 + 2x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 2x + -8x = 11 + 8x + -8x Combine like terms: 2x + -8x = -6x -2 + -6x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -6x = 11 + 0 -2 + -6x = 11 Add '2' to each side of the equation. -2 + 2 + -6x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 11 + 2 -6x = 11 + 2 Combine like terms: 11 + 2 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667
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