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Simplifying 4x + -7(8x + -2) = -402 Reorder the terms: 4x + -7(-2 + 8x) = -402 4x + (-2 * -7 + 8x * -7) = -402 4x + (14 + -56x) = -402 Reorder the terms: 14 + 4x + -56x = -402 Combine like terms: 4x + -56x = -52x 14 + -52x = -402 Solving 14 + -52x = -402 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -52x = -402 + -14 Combine like terms: 14 + -14 = 0 0 + -52x = -402 + -14 -52x = -402 + -14 Combine like terms: -402 + -14 = -416 -52x = -416 Divide each side by '-52'. x = 8 Simplifying x = 8
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