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Simplifying -2(x + 4) = 7x + 2 Reorder the terms: -2(4 + x) = 7x + 2 (4 * -2 + x * -2) = 7x + 2 (-8 + -2x) = 7x + 2 Reorder the terms: -8 + -2x = 2 + 7x Solving -8 + -2x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + -2x + -7x = 2 + 7x + -7x Combine like terms: -2x + -7x = -9x -8 + -9x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -9x = 2 + 0 -8 + -9x = 2 Add '8' to each side of the equation. -8 + 8 + -9x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 2 + 8 -9x = 2 + 8 Combine like terms: 2 + 8 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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