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