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Simplifying -7[-5x + -5 + -3(x + 1)] = -2x + 5 Reorder the terms: -7[-5x + -5 + -3(1 + x)] = -2x + 5 -7[-5x + -5 + (1 * -3 + x * -3)] = -2x + 5 -7[-5x + -5 + (-3 + -3x)] = -2x + 5 Reorder the terms: -7[-5 + -3 + -5x + -3x] = -2x + 5 Combine like terms: -5 + -3 = -8 -7[-8 + -5x + -3x] = -2x + 5 Combine like terms: -5x + -3x = -8x -7[-8 + -8x] = -2x + 5 [-8 * -7 + -8x * -7] = -2x + 5 [56 + 56x] = -2x + 5 Reorder the terms: 56 + 56x = 5 + -2x Solving 56 + 56x = 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. 56 + 56x + 2x = 5 + -2x + 2x Combine like terms: 56x + 2x = 58x 56 + 58x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 56 + 58x = 5 + 0 56 + 58x = 5 Add '-56' to each side of the equation. 56 + -56 + 58x = 5 + -56 Combine like terms: 56 + -56 = 0 0 + 58x = 5 + -56 58x = 5 + -56 Combine like terms: 5 + -56 = -51 58x = -51 Divide each side by '58'. x = -0.8793103448 Simplifying x = -0.8793103448
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