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Simplifying 2x + -6 + 7x = 5(x + 2) Reorder the terms: -6 + 2x + 7x = 5(x + 2) Combine like terms: 2x + 7x = 9x -6 + 9x = 5(x + 2) Reorder the terms: -6 + 9x = 5(2 + x) -6 + 9x = (2 * 5 + x * 5) -6 + 9x = (10 + 5x) Solving -6 + 9x = 10 + 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 + 9x + -5x = 10 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = 10 + 0 -6 + 4x = 10 Add '6' to each side of the equation. -6 + 6 + 4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 10 + 6 4x = 10 + 6 Combine like terms: 10 + 6 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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