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Simplifying 4(7x + -8) = 9(3x + 2) Reorder the terms: 4(-8 + 7x) = 9(3x + 2) (-8 * 4 + 7x * 4) = 9(3x + 2) (-32 + 28x) = 9(3x + 2) Reorder the terms: -32 + 28x = 9(2 + 3x) -32 + 28x = (2 * 9 + 3x * 9) -32 + 28x = (18 + 27x) Solving -32 + 28x = 18 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -32 + 28x + -27x = 18 + 27x + -27x Combine like terms: 28x + -27x = 1x -32 + 1x = 18 + 27x + -27x Combine like terms: 27x + -27x = 0 -32 + 1x = 18 + 0 -32 + 1x = 18 Add '32' to each side of the equation. -32 + 32 + 1x = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 18 + 32 1x = 18 + 32 Combine like terms: 18 + 32 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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