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Simplifying -3(-2x + -3) + 5x + -6 = 7x + -4(3x + 5) + -9 Reorder the terms: -3(-3 + -2x) + 5x + -6 = 7x + -4(3x + 5) + -9 (-3 * -3 + -2x * -3) + 5x + -6 = 7x + -4(3x + 5) + -9 (9 + 6x) + 5x + -6 = 7x + -4(3x + 5) + -9 Reorder the terms: 9 + -6 + 6x + 5x = 7x + -4(3x + 5) + -9 Combine like terms: 9 + -6 = 3 3 + 6x + 5x = 7x + -4(3x + 5) + -9 Combine like terms: 6x + 5x = 11x 3 + 11x = 7x + -4(3x + 5) + -9 Reorder the terms: 3 + 11x = 7x + -4(5 + 3x) + -9 3 + 11x = 7x + (5 * -4 + 3x * -4) + -9 3 + 11x = 7x + (-20 + -12x) + -9 Reorder the terms: 3 + 11x = -20 + -9 + 7x + -12x Combine like terms: -20 + -9 = -29 3 + 11x = -29 + 7x + -12x Combine like terms: 7x + -12x = -5x 3 + 11x = -29 + -5x Solving 3 + 11x = -29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 11x + 5x = -29 + -5x + 5x Combine like terms: 11x + 5x = 16x 3 + 16x = -29 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 16x = -29 + 0 3 + 16x = -29 Add '-3' to each side of the equation. 3 + -3 + 16x = -29 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = -29 + -3 16x = -29 + -3 Combine like terms: -29 + -3 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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