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Simplifying 2(4x + -28) = x + 7 + 14 Reorder the terms: 2(-28 + 4x) = x + 7 + 14 (-28 * 2 + 4x * 2) = x + 7 + 14 (-56 + 8x) = x + 7 + 14 Reorder the terms: -56 + 8x = 7 + 14 + x Combine like terms: 7 + 14 = 21 -56 + 8x = 21 + x Solving -56 + 8x = 21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -56 + 8x + -1x = 21 + x + -1x Combine like terms: 8x + -1x = 7x -56 + 7x = 21 + x + -1x Combine like terms: x + -1x = 0 -56 + 7x = 21 + 0 -56 + 7x = 21 Add '56' to each side of the equation. -56 + 56 + 7x = 21 + 56 Combine like terms: -56 + 56 = 0 0 + 7x = 21 + 56 7x = 21 + 56 Combine like terms: 21 + 56 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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