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Simplifying 27 = 7(5 + -1x) + -1(x + -8) 27 = (5 * 7 + -1x * 7) + -1(x + -8) 27 = (35 + -7x) + -1(x + -8) Reorder the terms: 27 = 35 + -7x + -1(-8 + x) 27 = 35 + -7x + (-8 * -1 + x * -1) 27 = 35 + -7x + (8 + -1x) Reorder the terms: 27 = 35 + 8 + -7x + -1x Combine like terms: 35 + 8 = 43 27 = 43 + -7x + -1x Combine like terms: -7x + -1x = -8x 27 = 43 + -8x Solving 27 = 43 + -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. 27 + 8x = 43 + -8x + 8x Combine like terms: -8x + 8x = 0 27 + 8x = 43 + 0 27 + 8x = 43 Add '-27' to each side of the equation. 27 + -27 + 8x = 43 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 43 + -27 8x = 43 + -27 Combine like terms: 43 + -27 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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