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Simplifying 4(2x + -3) + 3(x + 4) = 9(x + -3) Reorder the terms: 4(-3 + 2x) + 3(x + 4) = 9(x + -3) (-3 * 4 + 2x * 4) + 3(x + 4) = 9(x + -3) (-12 + 8x) + 3(x + 4) = 9(x + -3) Reorder the terms: -12 + 8x + 3(4 + x) = 9(x + -3) -12 + 8x + (4 * 3 + x * 3) = 9(x + -3) -12 + 8x + (12 + 3x) = 9(x + -3) Reorder the terms: -12 + 12 + 8x + 3x = 9(x + -3) Combine like terms: -12 + 12 = 0 0 + 8x + 3x = 9(x + -3) 8x + 3x = 9(x + -3) Combine like terms: 8x + 3x = 11x 11x = 9(x + -3) Reorder the terms: 11x = 9(-3 + x) 11x = (-3 * 9 + x * 9) 11x = (-27 + 9x) Solving 11x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11x + -9x = -27 + 9x + -9x Combine like terms: 11x + -9x = 2x 2x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 2x = -27 + 0 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5
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