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Simplifying -2[7x + -1 + -2(x + 1)] = -6x + 5 Reorder the terms: -2[7x + -1 + -2(1 + x)] = -6x + 5 -2[7x + -1 + (1 * -2 + x * -2)] = -6x + 5 -2[7x + -1 + (-2 + -2x)] = -6x + 5 Reorder the terms: -2[-1 + -2 + 7x + -2x] = -6x + 5 Combine like terms: -1 + -2 = -3 -2[-3 + 7x + -2x] = -6x + 5 Combine like terms: 7x + -2x = 5x -2[-3 + 5x] = -6x + 5 [-3 * -2 + 5x * -2] = -6x + 5 [6 + -10x] = -6x + 5 Reorder the terms: 6 + -10x = 5 + -6x Solving 6 + -10x = 5 + -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. 6 + -10x + 6x = 5 + -6x + 6x Combine like terms: -10x + 6x = -4x 6 + -4x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + -4x = 5 + 0 6 + -4x = 5 Add '-6' to each side of the equation. 6 + -6 + -4x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 5 + -6 -4x = 5 + -6 Combine like terms: 5 + -6 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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