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Simplifying 7(1 + -8) + 24 = x(1 + -6) Combine like terms: 1 + -8 = -7 7(-7) + 24 = x(1 + -6) Multiply 7 * -7 -49 + 24 = x(1 + -6) Combine like terms: -49 + 24 = -25 -25 = x(1 + -6) Combine like terms: 1 + -6 = -5 -25 = x(-5) Reorder the terms for easier multiplication: -25 = -5x Solving -25 = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -25 + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -25 + 5x = 0 Add '25' to each side of the equation. -25 + 25 + 5x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 5x = 0 + 25 5x = 0 + 25 Combine like terms: 0 + 25 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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