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Simplifying -7(8x + -2) = -2x + -40 Reorder the terms: -7(-2 + 8x) = -2x + -40 (-2 * -7 + 8x * -7) = -2x + -40 (14 + -56x) = -2x + -40 Reorder the terms: 14 + -56x = -40 + -2x Solving 14 + -56x = -40 + -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. 14 + -56x + 2x = -40 + -2x + 2x Combine like terms: -56x + 2x = -54x 14 + -54x = -40 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + -54x = -40 + 0 14 + -54x = -40 Add '-14' to each side of the equation. 14 + -14 + -54x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -54x = -40 + -14 -54x = -40 + -14 Combine like terms: -40 + -14 = -54 -54x = -54 Divide each side by '-54'. x = 1 Simplifying x = 1
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