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Simplifying (-8x + 2) + -1(8x + -206) = -412 Reorder the terms: (2 + -8x) + -1(8x + -206) = -412 Remove parenthesis around (2 + -8x) 2 + -8x + -1(8x + -206) = -412 Reorder the terms: 2 + -8x + -1(-206 + 8x) = -412 2 + -8x + (-206 * -1 + 8x * -1) = -412 2 + -8x + (206 + -8x) = -412 Reorder the terms: 2 + 206 + -8x + -8x = -412 Combine like terms: 2 + 206 = 208 208 + -8x + -8x = -412 Combine like terms: -8x + -8x = -16x 208 + -16x = -412 Solving 208 + -16x = -412 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-208' to each side of the equation. 208 + -208 + -16x = -412 + -208 Combine like terms: 208 + -208 = 0 0 + -16x = -412 + -208 -16x = -412 + -208 Combine like terms: -412 + -208 = -620 -16x = -620 Divide each side by '-16'. x = 38.75 Simplifying x = 38.75
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