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Simplifying -7(x + 6) = 2(x + -5) Reorder the terms: -7(6 + x) = 2(x + -5) (6 * -7 + x * -7) = 2(x + -5) (-42 + -7x) = 2(x + -5) Reorder the terms: -42 + -7x = 2(-5 + x) -42 + -7x = (-5 * 2 + x * 2) -42 + -7x = (-10 + 2x) Solving -42 + -7x = -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 + -7x + -2x = -10 + 2x + -2x Combine like terms: -7x + -2x = -9x -42 + -9x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + -9x = -10 + 0 -42 + -9x = -10 Add '42' to each side of the equation. -42 + 42 + -9x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + -9x = -10 + 42 -9x = -10 + 42 Combine like terms: -10 + 42 = 32 -9x = 32 Divide each side by '-9'. x = -3.555555556 Simplifying x = -3.555555556
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