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Simplifying 7(7 + -8) + 24 = x(7 + -6) Combine like terms: 7 + -8 = -1 7(-1) + 24 = x(7 + -6) Multiply 7 * -1 -7 + 24 = x(7 + -6) Combine like terms: -7 + 24 = 17 17 = x(7 + -6) Combine like terms: 7 + -6 = 1 17 = x(1) Reorder the terms for easier multiplication: 17 = 1x Solving 17 = 1x 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. 17 + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 17 + -1x = 0 Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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