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Simplifying 2(4 + -3x) = x + -1(4x + -1) (4 * 2 + -3x * 2) = x + -1(4x + -1) (8 + -6x) = x + -1(4x + -1) Reorder the terms: 8 + -6x = x + -1(-1 + 4x) 8 + -6x = x + (-1 * -1 + 4x * -1) 8 + -6x = x + (1 + -4x) Reorder the terms: 8 + -6x = 1 + x + -4x Combine like terms: x + -4x = -3x 8 + -6x = 1 + -3x Solving 8 + -6x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -6x + 3x = 1 + -3x + 3x Combine like terms: -6x + 3x = -3x 8 + -3x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -3x = 1 + 0 8 + -3x = 1 Add '-8' to each side of the equation. 8 + -8 + -3x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 1 + -8 -3x = 1 + -8 Combine like terms: 1 + -8 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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