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