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Simplifying -278 = 5x + -7(2 + -4x) -278 = 5x + (2 * -7 + -4x * -7) -278 = 5x + (-14 + 28x) Reorder the terms: -278 = -14 + 5x + 28x Combine like terms: 5x + 28x = 33x -278 = -14 + 33x Solving -278 = -14 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -278 + -33x = -14 + 33x + -33x Combine like terms: 33x + -33x = 0 -278 + -33x = -14 + 0 -278 + -33x = -14 Add '278' to each side of the equation. -278 + 278 + -33x = -14 + 278 Combine like terms: -278 + 278 = 0 0 + -33x = -14 + 278 -33x = -14 + 278 Combine like terms: -14 + 278 = 264 -33x = 264 Divide each side by '-33'. x = -8 Simplifying x = -8
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