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Simplifying -1[7x + 6 + -7(x + 1)] = 4x + -6 Reorder the terms: -1[7x + 6 + -7(1 + x)] = 4x + -6 -1[7x + 6 + (1 * -7 + x * -7)] = 4x + -6 -1[7x + 6 + (-7 + -7x)] = 4x + -6 Reorder the terms: -1[6 + -7 + 7x + -7x] = 4x + -6 Combine like terms: 6 + -7 = -1 -1[-1 + 7x + -7x] = 4x + -6 Combine like terms: 7x + -7x = 0 -1[-1 + 0] = 4x + -6 -1[-1] = 4x + -6 Multiply -1 * -1 1 = 4x + -6 Reorder the terms: 1 = -6 + 4x Solving 1 = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4x = -6 + 0 1 + -4x = -6 Add '-1' to each side of the equation. 1 + -1 + -4x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -6 + -1 -4x = -6 + -1 Combine like terms: -6 + -1 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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