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Simplifying 7x + -6 + 9x = 7 + 2x + -6 Reorder the terms: -6 + 7x + 9x = 7 + 2x + -6 Combine like terms: 7x + 9x = 16x -6 + 16x = 7 + 2x + -6 Reorder the terms: -6 + 16x = 7 + -6 + 2x Combine like terms: 7 + -6 = 1 -6 + 16x = 1 + 2x Solving -6 + 16x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 16x + -2x = 1 + 2x + -2x Combine like terms: 16x + -2x = 14x -6 + 14x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 14x = 1 + 0 -6 + 14x = 1 Add '6' to each side of the equation. -6 + 6 + 14x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 1 + 6 14x = 1 + 6 Combine like terms: 1 + 6 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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