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Simplifying 30x + -1 = 24x + 36 + 5 Reorder the terms: -1 + 30x = 24x + 36 + 5 Reorder the terms: -1 + 30x = 36 + 5 + 24x Combine like terms: 36 + 5 = 41 -1 + 30x = 41 + 24x Solving -1 + 30x = 41 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -1 + 30x + -24x = 41 + 24x + -24x Combine like terms: 30x + -24x = 6x -1 + 6x = 41 + 24x + -24x Combine like terms: 24x + -24x = 0 -1 + 6x = 41 + 0 -1 + 6x = 41 Add '1' to each side of the equation. -1 + 1 + 6x = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 41 + 1 6x = 41 + 1 Combine like terms: 41 + 1 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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