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Simplifying -7(x + -2) = 2x + -40 Reorder the terms: -7(-2 + x) = 2x + -40 (-2 * -7 + x * -7) = 2x + -40 (14 + -7x) = 2x + -40 Reorder the terms: 14 + -7x = -40 + 2x Solving 14 + -7x = -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 + -7x + -2x = -40 + 2x + -2x Combine like terms: -7x + -2x = -9x 14 + -9x = -40 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -9x = -40 + 0 14 + -9x = -40 Add '-14' to each side of the equation. 14 + -14 + -9x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -40 + -14 -9x = -40 + -14 Combine like terms: -40 + -14 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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