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Simplifying 2 + -1(8x + 7) = 27 + 2(x + 4) Reorder the terms: 2 + -1(7 + 8x) = 27 + 2(x + 4) 2 + (7 * -1 + 8x * -1) = 27 + 2(x + 4) 2 + (-7 + -8x) = 27 + 2(x + 4) Combine like terms: 2 + -7 = -5 -5 + -8x = 27 + 2(x + 4) Reorder the terms: -5 + -8x = 27 + 2(4 + x) -5 + -8x = 27 + (4 * 2 + x * 2) -5 + -8x = 27 + (8 + 2x) Combine like terms: 27 + 8 = 35 -5 + -8x = 35 + 2x Solving -5 + -8x = 35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -8x + -2x = 35 + 2x + -2x Combine like terms: -8x + -2x = -10x -5 + -10x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -10x = 35 + 0 -5 + -10x = 35 Add '5' to each side of the equation. -5 + 5 + -10x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 35 + 5 -10x = 35 + 5 Combine like terms: 35 + 5 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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