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Simplifying -2[7x + -7 + -6(x + 1)] = 2x + 5 Reorder the terms: -2[7x + -7 + -6(1 + x)] = 2x + 5 -2[7x + -7 + (1 * -6 + x * -6)] = 2x + 5 -2[7x + -7 + (-6 + -6x)] = 2x + 5 Reorder the terms: -2[-7 + -6 + 7x + -6x] = 2x + 5 Combine like terms: -7 + -6 = -13 -2[-13 + 7x + -6x] = 2x + 5 Combine like terms: 7x + -6x = 1x -2[-13 + 1x] = 2x + 5 [-13 * -2 + 1x * -2] = 2x + 5 [26 + -2x] = 2x + 5 Reorder the terms: 26 + -2x = 5 + 2x Solving 26 + -2x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 26 + -2x + -2x = 5 + 2x + -2x Combine like terms: -2x + -2x = -4x 26 + -4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + -4x = 5 + 0 26 + -4x = 5 Add '-26' to each side of the equation. 26 + -26 + -4x = 5 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 5 + -26 -4x = 5 + -26 Combine like terms: 5 + -26 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25
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