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Simplifying -2(x + -7) = 10 + -6x Reorder the terms: -2(-7 + x) = 10 + -6x (-7 * -2 + x * -2) = 10 + -6x (14 + -2x) = 10 + -6x Solving 14 + -2x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + -2x + 6x = 10 + -6x + 6x Combine like terms: -2x + 6x = 4x 14 + 4x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 4x = 10 + 0 14 + 4x = 10 Add '-14' to each side of the equation. 14 + -14 + 4x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 10 + -14 4x = 10 + -14 Combine like terms: 10 + -14 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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