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Simplifying -4(-6x + 9) + -9x = 3(x + -9) + -7 Reorder the terms: -4(9 + -6x) + -9x = 3(x + -9) + -7 (9 * -4 + -6x * -4) + -9x = 3(x + -9) + -7 (-36 + 24x) + -9x = 3(x + -9) + -7 Combine like terms: 24x + -9x = 15x -36 + 15x = 3(x + -9) + -7 Reorder the terms: -36 + 15x = 3(-9 + x) + -7 -36 + 15x = (-9 * 3 + x * 3) + -7 -36 + 15x = (-27 + 3x) + -7 Reorder the terms: -36 + 15x = -27 + -7 + 3x Combine like terms: -27 + -7 = -34 -36 + 15x = -34 + 3x Solving -36 + 15x = -34 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 15x + -3x = -34 + 3x + -3x Combine like terms: 15x + -3x = 12x -36 + 12x = -34 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 12x = -34 + 0 -36 + 12x = -34 Add '36' to each side of the equation. -36 + 36 + 12x = -34 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = -34 + 36 12x = -34 + 36 Combine like terms: -34 + 36 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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