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Simplifying 9x + -5 + 7x = 5(2x + 1) Reorder the terms: -5 + 9x + 7x = 5(2x + 1) Combine like terms: 9x + 7x = 16x -5 + 16x = 5(2x + 1) Reorder the terms: -5 + 16x = 5(1 + 2x) -5 + 16x = (1 * 5 + 2x * 5) -5 + 16x = (5 + 10x) Solving -5 + 16x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 16x + -10x = 5 + 10x + -10x Combine like terms: 16x + -10x = 6x -5 + 6x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + 6x = 5 + 0 -5 + 6x = 5 Add '5' to each side of the equation. -5 + 5 + 6x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 5 + 5 6x = 5 + 5 Combine like terms: 5 + 5 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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