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Simplifying -2(x + 5) = 2x + -78 Reorder the terms: -2(5 + x) = 2x + -78 (5 * -2 + x * -2) = 2x + -78 (-10 + -2x) = 2x + -78 Reorder the terms: -10 + -2x = -78 + 2x Solving -10 + -2x = -78 + 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. -10 + -2x + -2x = -78 + 2x + -2x Combine like terms: -2x + -2x = -4x -10 + -4x = -78 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -4x = -78 + 0 -10 + -4x = -78 Add '10' to each side of the equation. -10 + 10 + -4x = -78 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -78 + 10 -4x = -78 + 10 Combine like terms: -78 + 10 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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