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Simplifying -7[-7x + -3 + 5(x + 1)] = -6x + -7 Reorder the terms: -7[-7x + -3 + 5(1 + x)] = -6x + -7 -7[-7x + -3 + (1 * 5 + x * 5)] = -6x + -7 -7[-7x + -3 + (5 + 5x)] = -6x + -7 Reorder the terms: -7[-3 + 5 + -7x + 5x] = -6x + -7 Combine like terms: -3 + 5 = 2 -7[2 + -7x + 5x] = -6x + -7 Combine like terms: -7x + 5x = -2x -7[2 + -2x] = -6x + -7 [2 * -7 + -2x * -7] = -6x + -7 [-14 + 14x] = -6x + -7 Reorder the terms: -14 + 14x = -7 + -6x Solving -14 + 14x = -7 + -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. -14 + 14x + 6x = -7 + -6x + 6x Combine like terms: 14x + 6x = 20x -14 + 20x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 20x = -7 + 0 -14 + 20x = -7 Add '14' to each side of the equation. -14 + 14 + 20x = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 20x = -7 + 14 20x = -7 + 14 Combine like terms: -7 + 14 = 7 20x = 7 Divide each side by '20'. x = 0.35 Simplifying x = 0.35
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