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Simplifying 2x + 4(-4x + -2) = -78 Reorder the terms: 2x + 4(-2 + -4x) = -78 2x + (-2 * 4 + -4x * 4) = -78 2x + (-8 + -16x) = -78 Reorder the terms: -8 + 2x + -16x = -78 Combine like terms: 2x + -16x = -14x -8 + -14x = -78 Solving -8 + -14x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -14x = -78 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = -78 + 8 -14x = -78 + 8 Combine like terms: -78 + 8 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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