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Simplifying (5x + -1) + 2(4x + 6) = 6x + -3 Reorder the terms: (-1 + 5x) + 2(4x + 6) = 6x + -3 Remove parenthesis around (-1 + 5x) -1 + 5x + 2(4x + 6) = 6x + -3 Reorder the terms: -1 + 5x + 2(6 + 4x) = 6x + -3 -1 + 5x + (6 * 2 + 4x * 2) = 6x + -3 -1 + 5x + (12 + 8x) = 6x + -3 Reorder the terms: -1 + 12 + 5x + 8x = 6x + -3 Combine like terms: -1 + 12 = 11 11 + 5x + 8x = 6x + -3 Combine like terms: 5x + 8x = 13x 11 + 13x = 6x + -3 Reorder the terms: 11 + 13x = -3 + 6x Solving 11 + 13x = -3 + 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. 11 + 13x + -6x = -3 + 6x + -6x Combine like terms: 13x + -6x = 7x 11 + 7x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 7x = -3 + 0 11 + 7x = -3 Add '-11' to each side of the equation. 11 + -11 + 7x = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = -3 + -11 7x = -3 + -11 Combine like terms: -3 + -11 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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