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Simplifying 6(2x + 1) + -9 = -1(2x + 4) Reorder the terms: 6(1 + 2x) + -9 = -1(2x + 4) (1 * 6 + 2x * 6) + -9 = -1(2x + 4) (6 + 12x) + -9 = -1(2x + 4) Reorder the terms: 6 + -9 + 12x = -1(2x + 4) Combine like terms: 6 + -9 = -3 -3 + 12x = -1(2x + 4) Reorder the terms: -3 + 12x = -1(4 + 2x) -3 + 12x = (4 * -1 + 2x * -1) -3 + 12x = (-4 + -2x) Solving -3 + 12x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 12x + 2x = -4 + -2x + 2x Combine like terms: 12x + 2x = 14x -3 + 14x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 14x = -4 + 0 -3 + 14x = -4 Add '3' to each side of the equation. -3 + 3 + 14x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = -4 + 3 14x = -4 + 3 Combine like terms: -4 + 3 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143
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