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Simplifying 5x + 7x + 9 = 4x + -1(3x + 6) Reorder the terms: 9 + 5x + 7x = 4x + -1(3x + 6) Combine like terms: 5x + 7x = 12x 9 + 12x = 4x + -1(3x + 6) Reorder the terms: 9 + 12x = 4x + -1(6 + 3x) 9 + 12x = 4x + (6 * -1 + 3x * -1) 9 + 12x = 4x + (-6 + -3x) Reorder the terms: 9 + 12x = -6 + 4x + -3x Combine like terms: 4x + -3x = 1x 9 + 12x = -6 + 1x Solving 9 + 12x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 12x + -1x = -6 + 1x + -1x Combine like terms: 12x + -1x = 11x 9 + 11x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 9 + 11x = -6 + 0 9 + 11x = -6 Add '-9' to each side of the equation. 9 + -9 + 11x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = -6 + -9 11x = -6 + -9 Combine like terms: -6 + -9 = -15 11x = -15 Divide each side by '11'. x = -1.363636364 Simplifying x = -1.363636364
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