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Simplifying 6x + 5(2x + 7) = 9x + 5 Reorder the terms: 6x + 5(7 + 2x) = 9x + 5 6x + (7 * 5 + 2x * 5) = 9x + 5 6x + (35 + 10x) = 9x + 5 Reorder the terms: 35 + 6x + 10x = 9x + 5 Combine like terms: 6x + 10x = 16x 35 + 16x = 9x + 5 Reorder the terms: 35 + 16x = 5 + 9x Solving 35 + 16x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 16x + -9x = 5 + 9x + -9x Combine like terms: 16x + -9x = 7x 35 + 7x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + 7x = 5 + 0 35 + 7x = 5 Add '-35' to each side of the equation. 35 + -35 + 7x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 5 + -35 7x = 5 + -35 Combine like terms: 5 + -35 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286
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