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Simplifying 5(6x + -5) = 7(2x + 1) Reorder the terms: 5(-5 + 6x) = 7(2x + 1) (-5 * 5 + 6x * 5) = 7(2x + 1) (-25 + 30x) = 7(2x + 1) Reorder the terms: -25 + 30x = 7(1 + 2x) -25 + 30x = (1 * 7 + 2x * 7) -25 + 30x = (7 + 14x) Solving -25 + 30x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -25 + 30x + -14x = 7 + 14x + -14x Combine like terms: 30x + -14x = 16x -25 + 16x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -25 + 16x = 7 + 0 -25 + 16x = 7 Add '25' to each side of the equation. -25 + 25 + 16x = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 16x = 7 + 25 16x = 7 + 25 Combine like terms: 7 + 25 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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