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Simplifying 2(4x + -1) = 2(3x + 4) Reorder the terms: 2(-1 + 4x) = 2(3x + 4) (-1 * 2 + 4x * 2) = 2(3x + 4) (-2 + 8x) = 2(3x + 4) Reorder the terms: -2 + 8x = 2(4 + 3x) -2 + 8x = (4 * 2 + 3x * 2) -2 + 8x = (8 + 6x) Solving -2 + 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -2 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 2x = 8 + 0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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