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Simplifying -4x + (2x + 5) = 8 + -1(5x + 1) Reorder the terms: -4x + (5 + 2x) = 8 + -1(5x + 1) Remove parenthesis around (5 + 2x) -4x + 5 + 2x = 8 + -1(5x + 1) Reorder the terms: 5 + -4x + 2x = 8 + -1(5x + 1) Combine like terms: -4x + 2x = -2x 5 + -2x = 8 + -1(5x + 1) Reorder the terms: 5 + -2x = 8 + -1(1 + 5x) 5 + -2x = 8 + (1 * -1 + 5x * -1) 5 + -2x = 8 + (-1 + -5x) Combine like terms: 8 + -1 = 7 5 + -2x = 7 + -5x Solving 5 + -2x = 7 + -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 = 7 + -5x + 5x Combine like terms: -2x + 5x = 3x 5 + 3x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 3x = 7 + 0 5 + 3x = 7 Add '-5' to each side of the equation. 5 + -5 + 3x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 7 + -5 3x = 7 + -5 Combine like terms: 7 + -5 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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