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Simplifying 2(x + -1) = 4(2x + 5) Reorder the terms: 2(-1 + x) = 4(2x + 5) (-1 * 2 + x * 2) = 4(2x + 5) (-2 + 2x) = 4(2x + 5) Reorder the terms: -2 + 2x = 4(5 + 2x) -2 + 2x = (5 * 4 + 2x * 4) -2 + 2x = (20 + 8x) Solving -2 + 2x = 20 + 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 = 20 + 8x + -8x Combine like terms: 2x + -8x = -6x -2 + -6x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -6x = 20 + 0 -2 + -6x = 20 Add '2' to each side of the equation. -2 + 2 + -6x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 20 + 2 -6x = 20 + 2 Combine like terms: 20 + 2 = 22 -6x = 22 Divide each side by '-6'. x = -3.666666667 Simplifying x = -3.666666667
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