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Simplifying 2x + -1(5x + 9) = 6(2x + 1) Reorder the terms: 2x + -1(9 + 5x) = 6(2x + 1) 2x + (9 * -1 + 5x * -1) = 6(2x + 1) 2x + (-9 + -5x) = 6(2x + 1) Reorder the terms: -9 + 2x + -5x = 6(2x + 1) Combine like terms: 2x + -5x = -3x -9 + -3x = 6(2x + 1) Reorder the terms: -9 + -3x = 6(1 + 2x) -9 + -3x = (1 * 6 + 2x * 6) -9 + -3x = (6 + 12x) Solving -9 + -3x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + -3x + -12x = 6 + 12x + -12x Combine like terms: -3x + -12x = -15x -9 + -15x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -15x = 6 + 0 -9 + -15x = 6 Add '9' to each side of the equation. -9 + 9 + -15x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -15x = 6 + 9 -15x = 6 + 9 Combine like terms: 6 + 9 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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