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Simplifying 2 + -1(1 + 4x) = -7(x + -1) 2 + (1 * -1 + 4x * -1) = -7(x + -1) 2 + (-1 + -4x) = -7(x + -1) Combine like terms: 2 + -1 = 1 1 + -4x = -7(x + -1) Reorder the terms: 1 + -4x = -7(-1 + x) 1 + -4x = (-1 * -7 + x * -7) 1 + -4x = (7 + -7x) Solving 1 + -4x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + -4x + 7x = 7 + -7x + 7x Combine like terms: -4x + 7x = 3x 1 + 3x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 3x = 7 + 0 1 + 3x = 7 Add '-1' to each side of the equation. 1 + -1 + 3x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 7 + -1 3x = 7 + -1 Combine like terms: 7 + -1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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