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Simplifying 9(2x + -3) = 4(4x + -8) Reorder the terms: 9(-3 + 2x) = 4(4x + -8) (-3 * 9 + 2x * 9) = 4(4x + -8) (-27 + 18x) = 4(4x + -8) Reorder the terms: -27 + 18x = 4(-8 + 4x) -27 + 18x = (-8 * 4 + 4x * 4) -27 + 18x = (-32 + 16x) Solving -27 + 18x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -27 + 18x + -16x = -32 + 16x + -16x Combine like terms: 18x + -16x = 2x -27 + 2x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 -27 + 2x = -32 + 0 -27 + 2x = -32 Add '27' to each side of the equation. -27 + 27 + 2x = -32 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -32 + 27 2x = -32 + 27 Combine like terms: -32 + 27 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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