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Simplifying 3x + -1(x + -5) = 5x + 1 Reorder the terms: 3x + -1(-5 + x) = 5x + 1 3x + (-5 * -1 + x * -1) = 5x + 1 3x + (5 + -1x) = 5x + 1 Reorder the terms: 5 + 3x + -1x = 5x + 1 Combine like terms: 3x + -1x = 2x 5 + 2x = 5x + 1 Reorder the terms: 5 + 2x = 1 + 5x Solving 5 + 2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = 1 + 0 5 + -3x = 1 Add '-5' to each side of the equation. 5 + -5 + -3x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 1 + -5 -3x = 1 + -5 Combine like terms: 1 + -5 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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