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Simplifying (4x + -1) = 2(8x + 6) + -1 Reorder the terms: (-1 + 4x) = 2(8x + 6) + -1 Remove parenthesis around (-1 + 4x) -1 + 4x = 2(8x + 6) + -1 Reorder the terms: -1 + 4x = 2(6 + 8x) + -1 -1 + 4x = (6 * 2 + 8x * 2) + -1 -1 + 4x = (12 + 16x) + -1 Reorder the terms: -1 + 4x = 12 + -1 + 16x Combine like terms: 12 + -1 = 11 -1 + 4x = 11 + 16x Solving -1 + 4x = 11 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -1 + 4x + -16x = 11 + 16x + -16x Combine like terms: 4x + -16x = -12x -1 + -12x = 11 + 16x + -16x Combine like terms: 16x + -16x = 0 -1 + -12x = 11 + 0 -1 + -12x = 11 Add '1' to each side of the equation. -1 + 1 + -12x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 11 + 1 -12x = 11 + 1 Combine like terms: 11 + 1 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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