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Simplifying 3x + (5 + -1x) = 6 + -1(4x + -1) Remove parenthesis around (5 + -1x) 3x + 5 + -1x = 6 + -1(4x + -1) Reorder the terms: 5 + 3x + -1x = 6 + -1(4x + -1) Combine like terms: 3x + -1x = 2x 5 + 2x = 6 + -1(4x + -1) Reorder the terms: 5 + 2x = 6 + -1(-1 + 4x) 5 + 2x = 6 + (-1 * -1 + 4x * -1) 5 + 2x = 6 + (1 + -4x) Combine like terms: 6 + 1 = 7 5 + 2x = 7 + -4x Solving 5 + 2x = 7 + -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 + 2x + 4x = 7 + -4x + 4x Combine like terms: 2x + 4x = 6x 5 + 6x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 6x = 7 + 0 5 + 6x = 7 Add '-5' to each side of the equation. 5 + -5 + 6x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 7 + -5 6x = 7 + -5 Combine like terms: 7 + -5 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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