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Simplifying 5(x + 1) = 6(5x + 7) Reorder the terms: 5(1 + x) = 6(5x + 7) (1 * 5 + x * 5) = 6(5x + 7) (5 + 5x) = 6(5x + 7) Reorder the terms: 5 + 5x = 6(7 + 5x) 5 + 5x = (7 * 6 + 5x * 6) 5 + 5x = (42 + 30x) Solving 5 + 5x = 42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 5 + 5x + -30x = 42 + 30x + -30x Combine like terms: 5x + -30x = -25x 5 + -25x = 42 + 30x + -30x Combine like terms: 30x + -30x = 0 5 + -25x = 42 + 0 5 + -25x = 42 Add '-5' to each side of the equation. 5 + -5 + -25x = 42 + -5 Combine like terms: 5 + -5 = 0 0 + -25x = 42 + -5 -25x = 42 + -5 Combine like terms: 42 + -5 = 37 -25x = 37 Divide each side by '-25'. x = -1.48 Simplifying x = -1.48
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