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Simplifying 3x + -1 + -1(x + -4) = -1(4 + -1x) + -1 Reorder the terms: 3x + -1 + -1(-4 + x) = -1(4 + -1x) + -1 3x + -1 + (-4 * -1 + x * -1) = -1(4 + -1x) + -1 3x + -1 + (4 + -1x) = -1(4 + -1x) + -1 Reorder the terms: -1 + 4 + 3x + -1x = -1(4 + -1x) + -1 Combine like terms: -1 + 4 = 3 3 + 3x + -1x = -1(4 + -1x) + -1 Combine like terms: 3x + -1x = 2x 3 + 2x = -1(4 + -1x) + -1 3 + 2x = (4 * -1 + -1x * -1) + -1 3 + 2x = (-4 + 1x) + -1 Reorder the terms: 3 + 2x = -4 + -1 + 1x Combine like terms: -4 + -1 = -5 3 + 2x = -5 + 1x Solving 3 + 2x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 2x + -1x = -5 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = -5 + 0 3 + 1x = -5 Add '-3' to each side of the equation. 3 + -3 + 1x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -5 + -3 1x = -5 + -3 Combine like terms: -5 + -3 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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