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Simplifying 7x + 2 = 5(x + -4) Reorder the terms: 2 + 7x = 5(x + -4) Reorder the terms: 2 + 7x = 5(-4 + x) 2 + 7x = (-4 * 5 + x * 5) 2 + 7x = (-20 + 5x) Solving 2 + 7x = -20 + 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. 2 + 7x + -5x = -20 + 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = -20 + 0 2 + 2x = -20 Add '-2' to each side of the equation. 2 + -2 + 2x = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -20 + -2 2x = -20 + -2 Combine like terms: -20 + -2 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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