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Simplifying 9(4x + -6) = 8(3 + x) Reorder the terms: 9(-6 + 4x) = 8(3 + x) (-6 * 9 + 4x * 9) = 8(3 + x) (-54 + 36x) = 8(3 + x) -54 + 36x = (3 * 8 + x * 8) -54 + 36x = (24 + 8x) Solving -54 + 36x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -54 + 36x + -8x = 24 + 8x + -8x Combine like terms: 36x + -8x = 28x -54 + 28x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -54 + 28x = 24 + 0 -54 + 28x = 24 Add '54' to each side of the equation. -54 + 54 + 28x = 24 + 54 Combine like terms: -54 + 54 = 0 0 + 28x = 24 + 54 28x = 24 + 54 Combine like terms: 24 + 54 = 78 28x = 78 Divide each side by '28'. x = 2.785714286 Simplifying x = 2.785714286
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