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Simplifying 7x + -6 = 5(x + 4) Reorder the terms: -6 + 7x = 5(x + 4) Reorder the terms: -6 + 7x = 5(4 + x) -6 + 7x = (4 * 5 + x * 5) -6 + 7x = (20 + 5x) Solving -6 + 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. -6 + 7x + -5x = 20 + 5x + -5x Combine like terms: 7x + -5x = 2x -6 + 2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 2x = 20 + 0 -6 + 2x = 20 Add '6' to each side of the equation. -6 + 6 + 2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 20 + 6 2x = 20 + 6 Combine like terms: 20 + 6 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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