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Simplifying 4(7 + -1x) = 69 + -1(5 + 8x) (7 * 4 + -1x * 4) = 69 + -1(5 + 8x) (28 + -4x) = 69 + -1(5 + 8x) 28 + -4x = 69 + (5 * -1 + 8x * -1) 28 + -4x = 69 + (-5 + -8x) Combine like terms: 69 + -5 = 64 28 + -4x = 64 + -8x Solving 28 + -4x = 64 + -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. 28 + -4x + 8x = 64 + -8x + 8x Combine like terms: -4x + 8x = 4x 28 + 4x = 64 + -8x + 8x Combine like terms: -8x + 8x = 0 28 + 4x = 64 + 0 28 + 4x = 64 Add '-28' to each side of the equation. 28 + -28 + 4x = 64 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 64 + -28 4x = 64 + -28 Combine like terms: 64 + -28 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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