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Simplifying (2x + -1) + 2(4x + 6) = 4x + -1 Reorder the terms: (-1 + 2x) + 2(4x + 6) = 4x + -1 Remove parenthesis around (-1 + 2x) -1 + 2x + 2(4x + 6) = 4x + -1 Reorder the terms: -1 + 2x + 2(6 + 4x) = 4x + -1 -1 + 2x + (6 * 2 + 4x * 2) = 4x + -1 -1 + 2x + (12 + 8x) = 4x + -1 Reorder the terms: -1 + 12 + 2x + 8x = 4x + -1 Combine like terms: -1 + 12 = 11 11 + 2x + 8x = 4x + -1 Combine like terms: 2x + 8x = 10x 11 + 10x = 4x + -1 Reorder the terms: 11 + 10x = -1 + 4x Solving 11 + 10x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 10x + -4x = -1 + 4x + -4x Combine like terms: 10x + -4x = 6x 11 + 6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 6x = -1 + 0 11 + 6x = -1 Add '-11' to each side of the equation. 11 + -11 + 6x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = -1 + -11 6x = -1 + -11 Combine like terms: -1 + -11 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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