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Simplifying 8 + -7(x + 5) = 2(x + -4) Reorder the terms: 8 + -7(5 + x) = 2(x + -4) 8 + (5 * -7 + x * -7) = 2(x + -4) 8 + (-35 + -7x) = 2(x + -4) Combine like terms: 8 + -35 = -27 -27 + -7x = 2(x + -4) Reorder the terms: -27 + -7x = 2(-4 + x) -27 + -7x = (-4 * 2 + x * 2) -27 + -7x = (-8 + 2x) Solving -27 + -7x = -8 + 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. -27 + -7x + -2x = -8 + 2x + -2x Combine like terms: -7x + -2x = -9x -27 + -9x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + -9x = -8 + 0 -27 + -9x = -8 Add '27' to each side of the equation. -27 + 27 + -9x = -8 + 27 Combine like terms: -27 + 27 = 0 0 + -9x = -8 + 27 -9x = -8 + 27 Combine like terms: -8 + 27 = 19 -9x = 19 Divide each side by '-9'. x = -2.111111111 Simplifying x = -2.111111111
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