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Simplifying 2(2x + -1) = 5(2x + 4) Reorder the terms: 2(-1 + 2x) = 5(2x + 4) (-1 * 2 + 2x * 2) = 5(2x + 4) (-2 + 4x) = 5(2x + 4) Reorder the terms: -2 + 4x = 5(4 + 2x) -2 + 4x = (4 * 5 + 2x * 5) -2 + 4x = (20 + 10x) Solving -2 + 4x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 4x + -10x = 20 + 10x + -10x Combine like terms: 4x + -10x = -6x -2 + -6x = 20 + 10x + -10x Combine like terms: 10x + -10x = 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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