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Simplifying (6x + 7x + 1) + -1(6x + 5) = 9x + 15 Reorder the terms: (1 + 6x + 7x) + -1(6x + 5) = 9x + 15 Combine like terms: 6x + 7x = 13x (1 + 13x) + -1(6x + 5) = 9x + 15 Remove parenthesis around (1 + 13x) 1 + 13x + -1(6x + 5) = 9x + 15 Reorder the terms: 1 + 13x + -1(5 + 6x) = 9x + 15 1 + 13x + (5 * -1 + 6x * -1) = 9x + 15 1 + 13x + (-5 + -6x) = 9x + 15 Reorder the terms: 1 + -5 + 13x + -6x = 9x + 15 Combine like terms: 1 + -5 = -4 -4 + 13x + -6x = 9x + 15 Combine like terms: 13x + -6x = 7x -4 + 7x = 9x + 15 Reorder the terms: -4 + 7x = 15 + 9x Solving -4 + 7x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 7x + -9x = 15 + 9x + -9x Combine like terms: 7x + -9x = -2x -4 + -2x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -2x = 15 + 0 -4 + -2x = 15 Add '4' to each side of the equation. -4 + 4 + -2x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 15 + 4 -2x = 15 + 4 Combine like terms: 15 + 4 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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