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Simplifying 4(5x + -8) = 2(8x + 12) Reorder the terms: 4(-8 + 5x) = 2(8x + 12) (-8 * 4 + 5x * 4) = 2(8x + 12) (-32 + 20x) = 2(8x + 12) Reorder the terms: -32 + 20x = 2(12 + 8x) -32 + 20x = (12 * 2 + 8x * 2) -32 + 20x = (24 + 16x) Solving -32 + 20x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + 20x + -16x = 24 + 16x + -16x Combine like terms: 20x + -16x = 4x -32 + 4x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + 4x = 24 + 0 -32 + 4x = 24 Add '32' to each side of the equation. -32 + 32 + 4x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 24 + 32 4x = 24 + 32 Combine like terms: 24 + 32 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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