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Simplifying 4(2x + -8) = 14(8x + 48) + 12x Reorder the terms: 4(-8 + 2x) = 14(8x + 48) + 12x (-8 * 4 + 2x * 4) = 14(8x + 48) + 12x (-32 + 8x) = 14(8x + 48) + 12x Reorder the terms: -32 + 8x = 14(48 + 8x) + 12x -32 + 8x = (48 * 14 + 8x * 14) + 12x -32 + 8x = (672 + 112x) + 12x Combine like terms: 112x + 12x = 124x -32 + 8x = 672 + 124x Solving -32 + 8x = 672 + 124x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-124x' to each side of the equation. -32 + 8x + -124x = 672 + 124x + -124x Combine like terms: 8x + -124x = -116x -32 + -116x = 672 + 124x + -124x Combine like terms: 124x + -124x = 0 -32 + -116x = 672 + 0 -32 + -116x = 672 Add '32' to each side of the equation. -32 + 32 + -116x = 672 + 32 Combine like terms: -32 + 32 = 0 0 + -116x = 672 + 32 -116x = 672 + 32 Combine like terms: 672 + 32 = 704 -116x = 704 Divide each side by '-116'. x = -6.068965517 Simplifying x = -6.068965517
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