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Simplifying 2(-4x + -39) = 28(16 + -3x) Reorder the terms: 2(-39 + -4x) = 28(16 + -3x) (-39 * 2 + -4x * 2) = 28(16 + -3x) (-78 + -8x) = 28(16 + -3x) -78 + -8x = (16 * 28 + -3x * 28) -78 + -8x = (448 + -84x) Solving -78 + -8x = 448 + -84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84x' to each side of the equation. -78 + -8x + 84x = 448 + -84x + 84x Combine like terms: -8x + 84x = 76x -78 + 76x = 448 + -84x + 84x Combine like terms: -84x + 84x = 0 -78 + 76x = 448 + 0 -78 + 76x = 448 Add '78' to each side of the equation. -78 + 78 + 76x = 448 + 78 Combine like terms: -78 + 78 = 0 0 + 76x = 448 + 78 76x = 448 + 78 Combine like terms: 448 + 78 = 526 76x = 526 Divide each side by '76'. x = 6.921052632 Simplifying x = 6.921052632
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