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Simplifying 7(2 + -1x) = -5(x + -6) (2 * 7 + -1x * 7) = -5(x + -6) (14 + -7x) = -5(x + -6) Reorder the terms: 14 + -7x = -5(-6 + x) 14 + -7x = (-6 * -5 + x * -5) 14 + -7x = (30 + -5x) Solving 14 + -7x = 30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 14 + -7x + 5x = 30 + -5x + 5x Combine like terms: -7x + 5x = -2x 14 + -2x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + -2x = 30 + 0 14 + -2x = 30 Add '-14' to each side of the equation. 14 + -14 + -2x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 30 + -14 -2x = 30 + -14 Combine like terms: 30 + -14 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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