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Simplifying 30(x + -2) + 1 = 25(x + 9) Reorder the terms: 30(-2 + x) + 1 = 25(x + 9) (-2 * 30 + x * 30) + 1 = 25(x + 9) (-60 + 30x) + 1 = 25(x + 9) Reorder the terms: -60 + 1 + 30x = 25(x + 9) Combine like terms: -60 + 1 = -59 -59 + 30x = 25(x + 9) Reorder the terms: -59 + 30x = 25(9 + x) -59 + 30x = (9 * 25 + x * 25) -59 + 30x = (225 + 25x) Solving -59 + 30x = 225 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -59 + 30x + -25x = 225 + 25x + -25x Combine like terms: 30x + -25x = 5x -59 + 5x = 225 + 25x + -25x Combine like terms: 25x + -25x = 0 -59 + 5x = 225 + 0 -59 + 5x = 225 Add '59' to each side of the equation. -59 + 59 + 5x = 225 + 59 Combine like terms: -59 + 59 = 0 0 + 5x = 225 + 59 5x = 225 + 59 Combine like terms: 225 + 59 = 284 5x = 284 Divide each side by '5'. x = 56.8 Simplifying x = 56.8
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