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Simplifying 2x + -4(4 + -9x) = 4(7x + 8) 2x + (4 * -4 + -9x * -4) = 4(7x + 8) 2x + (-16 + 36x) = 4(7x + 8) Reorder the terms: -16 + 2x + 36x = 4(7x + 8) Combine like terms: 2x + 36x = 38x -16 + 38x = 4(7x + 8) Reorder the terms: -16 + 38x = 4(8 + 7x) -16 + 38x = (8 * 4 + 7x * 4) -16 + 38x = (32 + 28x) Solving -16 + 38x = 32 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -16 + 38x + -28x = 32 + 28x + -28x Combine like terms: 38x + -28x = 10x -16 + 10x = 32 + 28x + -28x Combine like terms: 28x + -28x = 0 -16 + 10x = 32 + 0 -16 + 10x = 32 Add '16' to each side of the equation. -16 + 16 + 10x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 32 + 16 10x = 32 + 16 Combine like terms: 32 + 16 = 48 10x = 48 Divide each side by '10'. x = 4.8 Simplifying x = 4.8
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