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Simplifying 5[-7x + -5 + 7(x + 1)] = -6x + -2 Reorder the terms: 5[-7x + -5 + 7(1 + x)] = -6x + -2 5[-7x + -5 + (1 * 7 + x * 7)] = -6x + -2 5[-7x + -5 + (7 + 7x)] = -6x + -2 Reorder the terms: 5[-5 + 7 + -7x + 7x] = -6x + -2 Combine like terms: -5 + 7 = 2 5[2 + -7x + 7x] = -6x + -2 Combine like terms: -7x + 7x = 0 5[2 + 0] = -6x + -2 5[2] = -6x + -2 Multiply 5 * 2 10 = -6x + -2 Reorder the terms: 10 = -2 + -6x Solving 10 = -2 + -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. 10 + 6x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 6x = -2 + 0 10 + 6x = -2 Add '-10' to each side of the equation. 10 + -10 + 6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -2 + -10 6x = -2 + -10 Combine like terms: -2 + -10 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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