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Simplifying -11 + -7x = 3 + 7(7 + 8x) -11 + -7x = 3 + (7 * 7 + 8x * 7) -11 + -7x = 3 + (49 + 56x) Combine like terms: 3 + 49 = 52 -11 + -7x = 52 + 56x Solving -11 + -7x = 52 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -11 + -7x + -56x = 52 + 56x + -56x Combine like terms: -7x + -56x = -63x -11 + -63x = 52 + 56x + -56x Combine like terms: 56x + -56x = 0 -11 + -63x = 52 + 0 -11 + -63x = 52 Add '11' to each side of the equation. -11 + 11 + -63x = 52 + 11 Combine like terms: -11 + 11 = 0 0 + -63x = 52 + 11 -63x = 52 + 11 Combine like terms: 52 + 11 = 63 -63x = 63 Divide each side by '-63'. x = -1 Simplifying x = -1
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