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Simplifying -6(x + 7) = -10 + -2x Reorder the terms: -6(7 + x) = -10 + -2x (7 * -6 + x * -6) = -10 + -2x (-42 + -6x) = -10 + -2x Solving -42 + -6x = -10 + -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. -42 + -6x + 2x = -10 + -2x + 2x Combine like terms: -6x + 2x = -4x -42 + -4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + -4x = -10 + 0 -42 + -4x = -10 Add '42' to each side of the equation. -42 + 42 + -4x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = -10 + 42 -4x = -10 + 42 Combine like terms: -10 + 42 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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