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Simplifying 5x + 9 = 30(x + 1) Reorder the terms: 9 + 5x = 30(x + 1) Reorder the terms: 9 + 5x = 30(1 + x) 9 + 5x = (1 * 30 + x * 30) 9 + 5x = (30 + 30x) Solving 9 + 5x = 30 + 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. 9 + 5x + -30x = 30 + 30x + -30x Combine like terms: 5x + -30x = -25x 9 + -25x = 30 + 30x + -30x Combine like terms: 30x + -30x = 0 9 + -25x = 30 + 0 9 + -25x = 30 Add '-9' to each side of the equation. 9 + -9 + -25x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + -25x = 30 + -9 -25x = 30 + -9 Combine like terms: 30 + -9 = 21 -25x = 21 Divide each side by '-25'. x = -0.84 Simplifying x = -0.84
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