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Simplifying 2(4x + -8) + 4(5x + 1) = 12 + -3x Reorder the terms: 2(-8 + 4x) + 4(5x + 1) = 12 + -3x (-8 * 2 + 4x * 2) + 4(5x + 1) = 12 + -3x (-16 + 8x) + 4(5x + 1) = 12 + -3x Reorder the terms: -16 + 8x + 4(1 + 5x) = 12 + -3x -16 + 8x + (1 * 4 + 5x * 4) = 12 + -3x -16 + 8x + (4 + 20x) = 12 + -3x Reorder the terms: -16 + 4 + 8x + 20x = 12 + -3x Combine like terms: -16 + 4 = -12 -12 + 8x + 20x = 12 + -3x Combine like terms: 8x + 20x = 28x -12 + 28x = 12 + -3x Solving -12 + 28x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 28x + 3x = 12 + -3x + 3x Combine like terms: 28x + 3x = 31x -12 + 31x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 31x = 12 + 0 -12 + 31x = 12 Add '12' to each side of the equation. -12 + 12 + 31x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 31x = 12 + 12 31x = 12 + 12 Combine like terms: 12 + 12 = 24 31x = 24 Divide each side by '31'. x = 0.7741935484 Simplifying x = 0.7741935484
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