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Simplifying 6x + (4x + -1) = 15 + -1(3x + 6) Reorder the terms: 6x + (-1 + 4x) = 15 + -1(3x + 6) Remove parenthesis around (-1 + 4x) 6x + -1 + 4x = 15 + -1(3x + 6) Reorder the terms: -1 + 6x + 4x = 15 + -1(3x + 6) Combine like terms: 6x + 4x = 10x -1 + 10x = 15 + -1(3x + 6) Reorder the terms: -1 + 10x = 15 + -1(6 + 3x) -1 + 10x = 15 + (6 * -1 + 3x * -1) -1 + 10x = 15 + (-6 + -3x) Combine like terms: 15 + -6 = 9 -1 + 10x = 9 + -3x Solving -1 + 10x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 10x + 3x = 9 + -3x + 3x Combine like terms: 10x + 3x = 13x -1 + 13x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 13x = 9 + 0 -1 + 13x = 9 Add '1' to each side of the equation. -1 + 1 + 13x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 13x = 9 + 1 13x = 9 + 1 Combine like terms: 9 + 1 = 10 13x = 10 Divide each side by '13'. x = 0.7692307692 Simplifying x = 0.7692307692
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