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Simplifying 8 + -7(x + 2) = 2(x + -8) Reorder the terms: 8 + -7(2 + x) = 2(x + -8) 8 + (2 * -7 + x * -7) = 2(x + -8) 8 + (-14 + -7x) = 2(x + -8) Combine like terms: 8 + -14 = -6 -6 + -7x = 2(x + -8) Reorder the terms: -6 + -7x = 2(-8 + x) -6 + -7x = (-8 * 2 + x * 2) -6 + -7x = (-16 + 2x) Solving -6 + -7x = -16 + 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. -6 + -7x + -2x = -16 + 2x + -2x Combine like terms: -7x + -2x = -9x -6 + -9x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -9x = -16 + 0 -6 + -9x = -16 Add '6' to each side of the equation. -6 + 6 + -9x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -16 + 6 -9x = -16 + 6 Combine like terms: -16 + 6 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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