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Simplifying 4(4x + -1) = 2(2x + 1) + (x + 2) Reorder the terms: 4(-1 + 4x) = 2(2x + 1) + (x + 2) (-1 * 4 + 4x * 4) = 2(2x + 1) + (x + 2) (-4 + 16x) = 2(2x + 1) + (x + 2) Reorder the terms: -4 + 16x = 2(1 + 2x) + (x + 2) -4 + 16x = (1 * 2 + 2x * 2) + (x + 2) -4 + 16x = (2 + 4x) + (x + 2) Reorder the terms: -4 + 16x = 2 + 4x + (2 + x) Remove parenthesis around (2 + x) -4 + 16x = 2 + 4x + 2 + x Reorder the terms: -4 + 16x = 2 + 2 + 4x + x Combine like terms: 2 + 2 = 4 -4 + 16x = 4 + 4x + x Combine like terms: 4x + x = 5x -4 + 16x = 4 + 5x Solving -4 + 16x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 16x + -5x = 4 + 5x + -5x Combine like terms: 16x + -5x = 11x -4 + 11x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 11x = 4 + 0 -4 + 11x = 4 Add '4' to each side of the equation. -4 + 4 + 11x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 4 + 4 11x = 4 + 4 Combine like terms: 4 + 4 = 8 11x = 8 Divide each side by '11'. x = 0.7272727273 Simplifying x = 0.7272727273
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