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Simplifying 24 = 2(1 + 7x) + -8(6 + -7x) 24 = (1 * 2 + 7x * 2) + -8(6 + -7x) 24 = (2 + 14x) + -8(6 + -7x) 24 = 2 + 14x + (6 * -8 + -7x * -8) 24 = 2 + 14x + (-48 + 56x) Reorder the terms: 24 = 2 + -48 + 14x + 56x Combine like terms: 2 + -48 = -46 24 = -46 + 14x + 56x Combine like terms: 14x + 56x = 70x 24 = -46 + 70x Solving 24 = -46 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 24 + -70x = -46 + 70x + -70x Combine like terms: 70x + -70x = 0 24 + -70x = -46 + 0 24 + -70x = -46 Add '-24' to each side of the equation. 24 + -24 + -70x = -46 + -24 Combine like terms: 24 + -24 = 0 0 + -70x = -46 + -24 -70x = -46 + -24 Combine like terms: -46 + -24 = -70 -70x = -70 Divide each side by '-70'. x = 1 Simplifying x = 1
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