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Simplifying 7(7 + -7x) + 3 = 11 + -8x (7 * 7 + -7x * 7) + 3 = 11 + -8x (49 + -49x) + 3 = 11 + -8x Reorder the terms: 49 + 3 + -49x = 11 + -8x Combine like terms: 49 + 3 = 52 52 + -49x = 11 + -8x Solving 52 + -49x = 11 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 52 + -49x + 8x = 11 + -8x + 8x Combine like terms: -49x + 8x = -41x 52 + -41x = 11 + -8x + 8x Combine like terms: -8x + 8x = 0 52 + -41x = 11 + 0 52 + -41x = 11 Add '-52' to each side of the equation. 52 + -52 + -41x = 11 + -52 Combine like terms: 52 + -52 = 0 0 + -41x = 11 + -52 -41x = 11 + -52 Combine like terms: 11 + -52 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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