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Simplifying (7x + -2) + 3(x + 2) = 5(x + -6) Reorder the terms: (-2 + 7x) + 3(x + 2) = 5(x + -6) Remove parenthesis around (-2 + 7x) -2 + 7x + 3(x + 2) = 5(x + -6) Reorder the terms: -2 + 7x + 3(2 + x) = 5(x + -6) -2 + 7x + (2 * 3 + x * 3) = 5(x + -6) -2 + 7x + (6 + 3x) = 5(x + -6) Reorder the terms: -2 + 6 + 7x + 3x = 5(x + -6) Combine like terms: -2 + 6 = 4 4 + 7x + 3x = 5(x + -6) Combine like terms: 7x + 3x = 10x 4 + 10x = 5(x + -6) Reorder the terms: 4 + 10x = 5(-6 + x) 4 + 10x = (-6 * 5 + x * 5) 4 + 10x = (-30 + 5x) Solving 4 + 10x = -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. 4 + 10x + -5x = -30 + 5x + -5x Combine like terms: 10x + -5x = 5x 4 + 5x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 5x = -30 + 0 4 + 5x = -30 Add '-4' to each side of the equation. 4 + -4 + 5x = -30 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -30 + -4 5x = -30 + -4 Combine like terms: -30 + -4 = -34 5x = -34 Divide each side by '5'. x = -6.8 Simplifying x = -6.8
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