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Simplifying 5x + -1(3x + -1) = x + -4 Reorder the terms: 5x + -1(-1 + 3x) = x + -4 5x + (-1 * -1 + 3x * -1) = x + -4 5x + (1 + -3x) = x + -4 Reorder the terms: 1 + 5x + -3x = x + -4 Combine like terms: 5x + -3x = 2x 1 + 2x = x + -4 Reorder the terms: 1 + 2x = -4 + x Solving 1 + 2x = -4 + x 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. 1 + 2x + -1x = -4 + x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = -4 + x + -1x Combine like terms: x + -1x = 0 1 + 1x = -4 + 0 1 + 1x = -4 Add '-1' to each side of the equation. 1 + -1 + 1x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -4 + -1 1x = -4 + -1 Combine like terms: -4 + -1 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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