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Simplifying 2(2x + -1) = 7(x + 2) Reorder the terms: 2(-1 + 2x) = 7(x + 2) (-1 * 2 + 2x * 2) = 7(x + 2) (-2 + 4x) = 7(x + 2) Reorder the terms: -2 + 4x = 7(2 + x) -2 + 4x = (2 * 7 + x * 7) -2 + 4x = (14 + 7x) Solving -2 + 4x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 4x + -7x = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x -2 + -3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -3x = 14 + 0 -2 + -3x = 14 Add '2' to each side of the equation. -2 + 2 + -3x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 14 + 2 -3x = 14 + 2 Combine like terms: 14 + 2 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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