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Simplifying -7[-2x + -5 + 3(x + 1)] = 3x + -6 Reorder the terms: -7[-2x + -5 + 3(1 + x)] = 3x + -6 -7[-2x + -5 + (1 * 3 + x * 3)] = 3x + -6 -7[-2x + -5 + (3 + 3x)] = 3x + -6 Reorder the terms: -7[-5 + 3 + -2x + 3x] = 3x + -6 Combine like terms: -5 + 3 = -2 -7[-2 + -2x + 3x] = 3x + -6 Combine like terms: -2x + 3x = 1x -7[-2 + 1x] = 3x + -6 [-2 * -7 + 1x * -7] = 3x + -6 [14 + -7x] = 3x + -6 Reorder the terms: 14 + -7x = -6 + 3x Solving 14 + -7x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + -7x + -3x = -6 + 3x + -3x Combine like terms: -7x + -3x = -10x 14 + -10x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -10x = -6 + 0 14 + -10x = -6 Add '-14' to each side of the equation. 14 + -14 + -10x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -6 + -14 -10x = -6 + -14 Combine like terms: -6 + -14 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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