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Simplifying 7[8x + -7] = 14 + -7x Reorder the terms: 7[-7 + 8x] = 14 + -7x [-7 * 7 + 8x * 7] = 14 + -7x [-49 + 56x] = 14 + -7x Solving -49 + 56x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -49 + 56x + 7x = 14 + -7x + 7x Combine like terms: 56x + 7x = 63x -49 + 63x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -49 + 63x = 14 + 0 -49 + 63x = 14 Add '49' to each side of the equation. -49 + 49 + 63x = 14 + 49 Combine like terms: -49 + 49 = 0 0 + 63x = 14 + 49 63x = 14 + 49 Combine like terms: 14 + 49 = 63 63x = 63 Divide each side by '63'. x = 1 Simplifying x = 1
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